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Finding the Fourth Proportional to 25,582, 38,375.16 and 7,114

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Solution

The fourth proportional to 25,582, 38,375.16 and 7,114 is: 10,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,582 : 38,375.16 = 7,114 : x
  2. Step 2: Convert to fraction form
    25,582/38,375.16 = 7,114/x
  3. Step 3: Cross multiply
    25,582x = 38,375.16 × 7,114
  4. Step 4: Simplify right side
    25,582x = 273,000,888.24
  5. Step 5: Solve for x
    x = 273,000,888.24/25,582
  6. Step 6: Final answer
    x = 10,671.60

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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.