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Finding the Fourth Proportional to 13,061.71, 19,595.87 and 6,046.77

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Solution

The fourth proportional to 13,061.71, 19,595.87 and 6,046.77 is: 9,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,061.71 : 19,595.87 = 6,046.77 : x
  2. Step 2: Convert to fraction form
    13,061.71/19,595.87 = 6,046.77/x
  3. Step 3: Cross multiply
    13,061.71x = 19,595.87 × 6,046.77
  4. Step 4: Simplify right side
    13,061.71x = 118,491,708.55
  5. Step 5: Solve for x
    x = 118,491,708.55/13,061.71
  6. Step 6: Final answer
    x = 9,071.69

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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.