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Finding the Fourth Proportional to 13,047.53, 19,572.82 and 4,159.76

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Solution

The fourth proportional to 13,047.53, 19,572.82 and 4,159.76 is: 6,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.53 : 19,572.82 = 4,159.76 : x
  2. Step 2: Convert to fraction form
    13,047.53/19,572.82 = 4,159.76/x
  3. Step 3: Cross multiply
    13,047.53x = 19,572.82 × 4,159.76
  4. Step 4: Simplify right side
    13,047.53x = 81,418,198.86
  5. Step 5: Solve for x
    x = 81,418,198.86/13,047.53
  6. Step 6: Final answer
    x = 6,240.12

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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.