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Finding the Fourth Proportional to 13,131.48, 19,702.89 and 7,204.71

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Solution

The fourth proportional to 13,131.48, 19,702.89 and 7,204.71 is: 10,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,131.48 : 19,702.89 = 7,204.71 : x
  2. Step 2: Convert to fraction form
    13,131.48/19,702.89 = 7,204.71/x
  3. Step 3: Cross multiply
    13,131.48x = 19,702.89 × 7,204.71
  4. Step 4: Simplify right side
    13,131.48x = 141,953,608.61
  5. Step 5: Solve for x
    x = 141,953,608.61/13,131.48
  6. Step 6: Final answer
    x = 10,810.18

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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.