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Finding the Fourth Proportional to 25,502.40, 38,204.88 and 14,946.48

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Solution

The fourth proportional to 25,502.40, 38,204.88 and 14,946.48 is: 22,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,502.40 : 38,204.88 = 14,946.48 : x
  2. Step 2: Convert to fraction form
    25,502.40/38,204.88 = 14,946.48/x
  3. Step 3: Cross multiply
    25,502.40x = 38,204.88 × 14,946.48
  4. Step 4: Simplify right side
    25,502.40x = 571,028,474.82
  5. Step 5: Solve for x
    x = 571,028,474.82/25,502.40
  6. Step 6: Final answer
    x = 22,391.17

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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.