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Finding the Fourth Proportional to 13,006.53, 19,513.17 and 3,646.58

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Solution

The fourth proportional to 13,006.53, 19,513.17 and 3,646.58 is: 5,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.53 : 19,513.17 = 3,646.58 : x
  2. Step 2: Convert to fraction form
    13,006.53/19,513.17 = 3,646.58/x
  3. Step 3: Cross multiply
    13,006.53x = 19,513.17 × 3,646.58
  4. Step 4: Simplify right side
    13,006.53x = 71,156,237.89
  5. Step 5: Solve for x
    x = 71,156,237.89/13,006.53
  6. Step 6: Final answer
    x = 5,470.81

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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.