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Finding the Fourth Proportional to 25,714.90, 35,489.85 and 14,385.03

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Solution

The fourth proportional to 25,714.90, 35,489.85 and 14,385.03 is: 19,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.90 : 35,489.85 = 14,385.03 : x
  2. Step 2: Convert to fraction form
    25,714.90/35,489.85 = 14,385.03/x
  3. Step 3: Cross multiply
    25,714.90x = 35,489.85 × 14,385.03
  4. Step 4: Simplify right side
    25,714.90x = 510,522,369.91
  5. Step 5: Solve for x
    x = 510,522,369.91/25,714.90
  6. Step 6: Final answer
    x = 19,853.17

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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.