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Finding the Fourth Proportional to 23,598, 32,557.91 and 13,387.35

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Solution

The fourth proportional to 23,598, 32,557.91 and 13,387.35 is: 18,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598 : 32,557.91 = 13,387.35 : x
  2. Step 2: Convert to fraction form
    23,598/32,557.91 = 13,387.35/x
  3. Step 3: Cross multiply
    23,598x = 32,557.91 × 13,387.35
  4. Step 4: Simplify right side
    23,598x = 435,864,008.46
  5. Step 5: Solve for x
    x = 435,864,008.46/23,598
  6. Step 6: Final answer
    x = 18,470.38

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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.