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Finding the Fourth Proportional to 25,549.96, 38,275.08 and 14,422.96

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Solution

The fourth proportional to 25,549.96, 38,275.08 and 14,422.96 is: 21,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,549.96 : 38,275.08 = 14,422.96 : x
  2. Step 2: Convert to fraction form
    25,549.96/38,275.08 = 14,422.96/x
  3. Step 3: Cross multiply
    25,549.96x = 38,275.08 × 14,422.96
  4. Step 4: Simplify right side
    25,549.96x = 552,039,947.84
  5. Step 5: Solve for x
    x = 552,039,947.84/25,549.96
  6. Step 6: Final answer
    x = 21,606.29

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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.