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Finding the Fourth Proportional to 13,151.34, 19,726.70 and 6,123.78

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Solution

The fourth proportional to 13,151.34, 19,726.70 and 6,123.78 is: 9,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.34 : 19,726.70 = 6,123.78 : x
  2. Step 2: Convert to fraction form
    13,151.34/19,726.70 = 6,123.78/x
  3. Step 3: Cross multiply
    13,151.34x = 19,726.70 × 6,123.78
  4. Step 4: Simplify right side
    13,151.34x = 120,801,970.93
  5. Step 5: Solve for x
    x = 120,801,970.93/13,151.34
  6. Step 6: Final answer
    x = 9,185.53

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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.