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Finding the Fourth Proportional to 13,153.74, 19,702.56 and 10,644.18

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Solution

The fourth proportional to 13,153.74, 19,702.56 and 10,644.18 is: 15,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.74 : 19,702.56 = 10,644.18 : x
  2. Step 2: Convert to fraction form
    13,153.74/19,702.56 = 10,644.18/x
  3. Step 3: Cross multiply
    13,153.74x = 19,702.56 × 10,644.18
  4. Step 4: Simplify right side
    13,153.74x = 209,717,595.10
  5. Step 5: Solve for x
    x = 209,717,595.10/13,153.74
  6. Step 6: Final answer
    x = 15,943.57

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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.