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Finding the Fourth Proportional to 13,061.12, 19,585.68 and 6,485

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Solution

The fourth proportional to 13,061.12, 19,585.68 and 6,485 is: 9,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,061.12 : 19,585.68 = 6,485 : x
  2. Step 2: Convert to fraction form
    13,061.12/19,585.68 = 6,485/x
  3. Step 3: Cross multiply
    13,061.12x = 19,585.68 × 6,485
  4. Step 4: Simplify right side
    13,061.12x = 127,013,134.80
  5. Step 5: Solve for x
    x = 127,013,134.80/13,061.12
  6. Step 6: Final answer
    x = 9,724.52

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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.