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Finding the Fourth Proportional to 12,909.70, 19,364.55 and 9,151.30

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Solution

The fourth proportional to 12,909.70, 19,364.55 and 9,151.30 is: 13,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.70 : 19,364.55 = 9,151.30 : x
  2. Step 2: Convert to fraction form
    12,909.70/19,364.55 = 9,151.30/x
  3. Step 3: Cross multiply
    12,909.70x = 19,364.55 × 9,151.30
  4. Step 4: Simplify right side
    12,909.70x = 177,210,806.42
  5. Step 5: Solve for x
    x = 177,210,806.42/12,909.70
  6. Step 6: Final answer
    x = 13,726.95

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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.