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Finding the Fourth Proportional to 13,585.64, 18,747.10 and 7,616.50

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Solution

The fourth proportional to 13,585.64, 18,747.10 and 7,616.50 is: 10,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.64 : 18,747.10 = 7,616.50 : x
  2. Step 2: Convert to fraction form
    13,585.64/18,747.10 = 7,616.50/x
  3. Step 3: Cross multiply
    13,585.64x = 18,747.10 × 7,616.50
  4. Step 4: Simplify right side
    13,585.64x = 142,787,206.96
  5. Step 5: Solve for x
    x = 142,787,206.96/13,585.64
  6. Step 6: Final answer
    x = 10,510.16

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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.