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Finding the Fourth Proportional to 13,092.71, 19,613.48 and 10,465.74

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Solution

The fourth proportional to 13,092.71, 19,613.48 and 10,465.74 is: 15,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.71 : 19,613.48 = 10,465.74 : x
  2. Step 2: Convert to fraction form
    13,092.71/19,613.48 = 10,465.74/x
  3. Step 3: Cross multiply
    13,092.71x = 19,613.48 × 10,465.74
  4. Step 4: Simplify right side
    13,092.71x = 205,269,529.85
  5. Step 5: Solve for x
    x = 205,269,529.85/13,092.71
  6. Step 6: Final answer
    x = 15,678.16

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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.