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Finding the Fourth Proportional to 25,714.32, 38,566.08 and 7,242

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Solution

The fourth proportional to 25,714.32, 38,566.08 and 7,242 is: 10,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.32 : 38,566.08 = 7,242 : x
  2. Step 2: Convert to fraction form
    25,714.32/38,566.08 = 7,242/x
  3. Step 3: Cross multiply
    25,714.32x = 38,566.08 × 7,242
  4. Step 4: Simplify right side
    25,714.32x = 279,295,551.36
  5. Step 5: Solve for x
    x = 279,295,551.36/25,714.32
  6. Step 6: Final answer
    x = 10,861.48

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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.