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Finding the Fourth Proportional to 17,575.21, 24,263.81 and 11,624.14

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Solution

The fourth proportional to 17,575.21, 24,263.81 and 11,624.14 is: 16,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,575.21 : 24,263.81 = 11,624.14 : x
  2. Step 2: Convert to fraction form
    17,575.21/24,263.81 = 11,624.14/x
  3. Step 3: Cross multiply
    17,575.21x = 24,263.81 × 11,624.14
  4. Step 4: Simplify right side
    17,575.21x = 282,045,924.37
  5. Step 5: Solve for x
    x = 282,045,924.37/17,575.21
  6. Step 6: Final answer
    x = 16,047.94

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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.