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Finding the Fourth Proportional to 13,960.17, 19,264.71 and 7,586.61

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Solution

The fourth proportional to 13,960.17, 19,264.71 and 7,586.61 is: 10,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.17 : 19,264.71 = 7,586.61 : x
  2. Step 2: Convert to fraction form
    13,960.17/19,264.71 = 7,586.61/x
  3. Step 3: Cross multiply
    13,960.17x = 19,264.71 × 7,586.61
  4. Step 4: Simplify right side
    13,960.17x = 146,153,841.53
  5. Step 5: Solve for x
    x = 146,153,841.53/13,960.17
  6. Step 6: Final answer
    x = 10,469.35

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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.