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Finding the Fourth Proportional to 23,730, 32,744.56 and 13,118.20

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Solution

The fourth proportional to 23,730, 32,744.56 and 13,118.20 is: 18,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730 : 32,744.56 = 13,118.20 : x
  2. Step 2: Convert to fraction form
    23,730/32,744.56 = 13,118.20/x
  3. Step 3: Cross multiply
    23,730x = 32,744.56 × 13,118.20
  4. Step 4: Simplify right side
    23,730x = 429,549,686.99
  5. Step 5: Solve for x
    x = 429,549,686.99/23,730
  6. Step 6: Final answer
    x = 18,101.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.