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Finding the Fourth Proportional to 17,537.50, 24,202.47 and 10,085.50

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Solution

The fourth proportional to 17,537.50, 24,202.47 and 10,085.50 is: 13,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.50 : 24,202.47 = 10,085.50 : x
  2. Step 2: Convert to fraction form
    17,537.50/24,202.47 = 10,085.50/x
  3. Step 3: Cross multiply
    17,537.50x = 24,202.47 × 10,085.50
  4. Step 4: Simplify right side
    17,537.50x = 244,094,011.19
  5. Step 5: Solve for x
    x = 244,094,011.19/17,537.50
  6. Step 6: Final answer
    x = 13,918.40

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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.