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Finding the Fourth Proportional to 16,612.84, 22,926 and 9,539.20

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Solution

The fourth proportional to 16,612.84, 22,926 and 9,539.20 is: 13,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,612.84 : 22,926 = 9,539.20 : x
  2. Step 2: Convert to fraction form
    16,612.84/22,926 = 9,539.20/x
  3. Step 3: Cross multiply
    16,612.84x = 22,926 × 9,539.20
  4. Step 4: Simplify right side
    16,612.84x = 218,695,699.20
  5. Step 5: Solve for x
    x = 218,695,699.20/16,612.84
  6. Step 6: Final answer
    x = 13,164.26

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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.