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Finding the Fourth Proportional to 25,254.92, 34,852.98 and 14,077

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Solution

The fourth proportional to 25,254.92, 34,852.98 and 14,077 is: 19,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,254.92 : 34,852.98 = 14,077 : x
  2. Step 2: Convert to fraction form
    25,254.92/34,852.98 = 14,077/x
  3. Step 3: Cross multiply
    25,254.92x = 34,852.98 × 14,077
  4. Step 4: Simplify right side
    25,254.92x = 490,625,399.46
  5. Step 5: Solve for x
    x = 490,625,399.46/25,254.92
  6. Step 6: Final answer
    x = 19,426.92

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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.