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Finding the Fourth Proportional to 16,304.16, 22,505.10 and 9,589.50

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Solution

The fourth proportional to 16,304.16, 22,505.10 and 9,589.50 is: 13,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.16 : 22,505.10 = 9,589.50 : x
  2. Step 2: Convert to fraction form
    16,304.16/22,505.10 = 9,589.50/x
  3. Step 3: Cross multiply
    16,304.16x = 22,505.10 × 9,589.50
  4. Step 4: Simplify right side
    16,304.16x = 215,812,656.45
  5. Step 5: Solve for x
    x = 215,812,656.45/16,304.16
  6. Step 6: Final answer
    x = 13,236.66

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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.