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Finding the Fourth Proportional to 25,494.92, 38,210.01 and 14,407.82

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Solution

The fourth proportional to 25,494.92, 38,210.01 and 14,407.82 is: 21,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.92 : 38,210.01 = 14,407.82 : x
  2. Step 2: Convert to fraction form
    25,494.92/38,210.01 = 14,407.82/x
  3. Step 3: Cross multiply
    25,494.92x = 38,210.01 × 14,407.82
  4. Step 4: Simplify right side
    25,494.92x = 550,522,946.28
  5. Step 5: Solve for x
    x = 550,522,946.28/25,494.92
  6. Step 6: Final answer
    x = 21,593.44

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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.