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Finding the Fourth Proportional to 25,498.62, 38,215.44 and 14,411.48

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Solution

The fourth proportional to 25,498.62, 38,215.44 and 14,411.48 is: 21,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,498.62 : 38,215.44 = 14,411.48 : x
  2. Step 2: Convert to fraction form
    25,498.62/38,215.44 = 14,411.48/x
  3. Step 3: Cross multiply
    25,498.62x = 38,215.44 × 14,411.48
  4. Step 4: Simplify right side
    25,498.62x = 550,740,858.17
  5. Step 5: Solve for x
    x = 550,740,858.17/25,498.62
  6. Step 6: Final answer
    x = 21,598.85

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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.