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Finding the Fourth Proportional to 24,822.71, 34,254.46 and 14,204.83

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Solution

The fourth proportional to 24,822.71, 34,254.46 and 14,204.83 is: 19,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.71 : 34,254.46 = 14,204.83 : x
  2. Step 2: Convert to fraction form
    24,822.71/34,254.46 = 14,204.83/x
  3. Step 3: Cross multiply
    24,822.71x = 34,254.46 × 14,204.83
  4. Step 4: Simplify right side
    24,822.71x = 486,578,781.04
  5. Step 5: Solve for x
    x = 486,578,781.04/24,822.71
  6. Step 6: Final answer
    x = 19,602.16

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