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Finding the Fourth Proportional to 24,687.52, 34,069.04 and 13,509.52

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Solution

The fourth proportional to 24,687.52, 34,069.04 and 13,509.52 is: 18,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,687.52 : 34,069.04 = 13,509.52 : x
  2. Step 2: Convert to fraction form
    24,687.52/34,069.04 = 13,509.52/x
  3. Step 3: Cross multiply
    24,687.52x = 34,069.04 × 13,509.52
  4. Step 4: Simplify right side
    24,687.52x = 460,256,377.26
  5. Step 5: Solve for x
    x = 460,256,377.26/24,687.52
  6. Step 6: Final answer
    x = 18,643.28

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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.