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Finding the Fourth Proportional to 17,487.83, 24,130.47 and 9,829.59

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Solution

The fourth proportional to 17,487.83, 24,130.47 and 9,829.59 is: 13,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,487.83 : 24,130.47 = 9,829.59 : x
  2. Step 2: Convert to fraction form
    17,487.83/24,130.47 = 9,829.59/x
  3. Step 3: Cross multiply
    17,487.83x = 24,130.47 × 9,829.59
  4. Step 4: Simplify right side
    17,487.83x = 237,192,572.98
  5. Step 5: Solve for x
    x = 237,192,572.98/17,487.83
  6. Step 6: Final answer
    x = 13,563.29

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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.