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Finding the Fourth Proportional to 13,585.95, 18,747.32 and 7,616.25

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Solution

The fourth proportional to 13,585.95, 18,747.32 and 7,616.25 is: 10,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.95 : 18,747.32 = 7,616.25 : x
  2. Step 2: Convert to fraction form
    13,585.95/18,747.32 = 7,616.25/x
  3. Step 3: Cross multiply
    13,585.95x = 18,747.32 × 7,616.25
  4. Step 4: Simplify right side
    13,585.95x = 142,784,237.87
  5. Step 5: Solve for x
    x = 142,784,237.87/13,585.95
  6. Step 6: Final answer
    x = 10,509.70

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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.