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Finding the Fourth Proportional to 19,752.29, 29,616.58 and 9,065.25

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Solution

The fourth proportional to 19,752.29, 29,616.58 and 9,065.25 is: 13,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.29 : 29,616.58 = 9,065.25 : x
  2. Step 2: Convert to fraction form
    19,752.29/29,616.58 = 9,065.25/x
  3. Step 3: Cross multiply
    19,752.29x = 29,616.58 × 9,065.25
  4. Step 4: Simplify right side
    19,752.29x = 268,481,713.18
  5. Step 5: Solve for x
    x = 268,481,713.18/19,752.29
  6. Step 6: Final answer
    x = 13,592.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.