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Finding the Fourth Proportional to 25,708.54, 38,518.80 and 14,029.96

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Solution

The fourth proportional to 25,708.54, 38,518.80 and 14,029.96 is: 21,020.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708.54 : 38,518.80 = 14,029.96 : x
  2. Step 2: Convert to fraction form
    25,708.54/38,518.80 = 14,029.96/x
  3. Step 3: Cross multiply
    25,708.54x = 38,518.80 × 14,029.96
  4. Step 4: Simplify right side
    25,708.54x = 540,417,223.25
  5. Step 5: Solve for x
    x = 540,417,223.25/25,708.54
  6. Step 6: Final answer
    x = 21,020.92

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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.