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Finding the Fourth Proportional to 25,809.60, 38,714.40 and 10,225.20

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Solution

The fourth proportional to 25,809.60, 38,714.40 and 10,225.20 is: 15,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.60 : 38,714.40 = 10,225.20 : x
  2. Step 2: Convert to fraction form
    25,809.60/38,714.40 = 10,225.20/x
  3. Step 3: Cross multiply
    25,809.60x = 38,714.40 × 10,225.20
  4. Step 4: Simplify right side
    25,809.60x = 395,862,482.88
  5. Step 5: Solve for x
    x = 395,862,482.88/25,809.60
  6. Step 6: Final answer
    x = 15,337.80

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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.