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Finding the Fourth Proportional to 17,624.20, 24,319.14 and 10,071.01

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Solution

The fourth proportional to 17,624.20, 24,319.14 and 10,071.01 is: 13,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.20 : 24,319.14 = 10,071.01 : x
  2. Step 2: Convert to fraction form
    17,624.20/24,319.14 = 10,071.01/x
  3. Step 3: Cross multiply
    17,624.20x = 24,319.14 × 10,071.01
  4. Step 4: Simplify right side
    17,624.20x = 244,918,302.13
  5. Step 5: Solve for x
    x = 244,918,302.13/17,624.20
  6. Step 6: Final answer
    x = 13,896.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.