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Finding the Fourth Proportional to 13,253.59, 19,850.14 and 6,332.95

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Solution

The fourth proportional to 13,253.59, 19,850.14 and 6,332.95 is: 9,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.59 : 19,850.14 = 6,332.95 : x
  2. Step 2: Convert to fraction form
    13,253.59/19,850.14 = 6,332.95/x
  3. Step 3: Cross multiply
    13,253.59x = 19,850.14 × 6,332.95
  4. Step 4: Simplify right side
    13,253.59x = 125,709,944.11
  5. Step 5: Solve for x
    x = 125,709,944.11/13,253.59
  6. Step 6: Final answer
    x = 9,484.97

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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.