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Finding the Fourth Proportional to 23,468.38, 32,386.36 and 14,039.17

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Solution

The fourth proportional to 23,468.38, 32,386.36 and 14,039.17 is: 19,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.38 : 32,386.36 = 14,039.17 : x
  2. Step 2: Convert to fraction form
    23,468.38/32,386.36 = 14,039.17/x
  3. Step 3: Cross multiply
    23,468.38x = 32,386.36 × 14,039.17
  4. Step 4: Simplify right side
    23,468.38x = 454,677,613.72
  5. Step 5: Solve for x
    x = 454,677,613.72/23,468.38
  6. Step 6: Final answer
    x = 19,374.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.