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Finding the Fourth Proportional to 25,967.62, 38,956.29 and 8,442.46

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Solution

The fourth proportional to 25,967.62, 38,956.29 and 8,442.46 is: 12,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,967.62 : 38,956.29 = 8,442.46 : x
  2. Step 2: Convert to fraction form
    25,967.62/38,956.29 = 8,442.46/x
  3. Step 3: Cross multiply
    25,967.62x = 38,956.29 × 8,442.46
  4. Step 4: Simplify right side
    25,967.62x = 328,886,920.07
  5. Step 5: Solve for x
    x = 328,886,920.07/25,967.62
  6. Step 6: Final answer
    x = 12,665.27

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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.