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Finding the Fourth Proportional to 25,807.96, 38,714.34 and 7,088.20

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Solution

The fourth proportional to 25,807.96, 38,714.34 and 7,088.20 is: 10,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807.96 : 38,714.34 = 7,088.20 : x
  2. Step 2: Convert to fraction form
    25,807.96/38,714.34 = 7,088.20/x
  3. Step 3: Cross multiply
    25,807.96x = 38,714.34 × 7,088.20
  4. Step 4: Simplify right side
    25,807.96x = 274,414,984.79
  5. Step 5: Solve for x
    x = 274,414,984.79/25,807.96
  6. Step 6: Final answer
    x = 10,632.96

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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.