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Finding the Fourth Proportional to 13,865.76, 19,129.50 and 9,151.56

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Solution

The fourth proportional to 13,865.76, 19,129.50 and 9,151.56 is: 12,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.76 : 19,129.50 = 9,151.56 : x
  2. Step 2: Convert to fraction form
    13,865.76/19,129.50 = 9,151.56/x
  3. Step 3: Cross multiply
    13,865.76x = 19,129.50 × 9,151.56
  4. Step 4: Simplify right side
    13,865.76x = 175,064,767.02
  5. Step 5: Solve for x
    x = 175,064,767.02/13,865.76
  6. Step 6: Final answer
    x = 12,625.69

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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.