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Finding the Fourth Proportional to 25,880.52, 35,714.16 and 14,549.88

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Solution

The fourth proportional to 25,880.52, 35,714.16 and 14,549.88 is: 20,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880.52 : 35,714.16 = 14,549.88 : x
  2. Step 2: Convert to fraction form
    25,880.52/35,714.16 = 14,549.88/x
  3. Step 3: Cross multiply
    25,880.52x = 35,714.16 × 14,549.88
  4. Step 4: Simplify right side
    25,880.52x = 519,636,742.30
  5. Step 5: Solve for x
    x = 519,636,742.30/25,880.52
  6. Step 6: Final answer
    x = 20,078.30

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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.