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Finding the Fourth Proportional to 25,904.32, 38,856.68 and 8,374.12

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Solution

The fourth proportional to 25,904.32, 38,856.68 and 8,374.12 is: 12,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,904.32 : 38,856.68 = 8,374.12 : x
  2. Step 2: Convert to fraction form
    25,904.32/38,856.68 = 8,374.12/x
  3. Step 3: Cross multiply
    25,904.32x = 38,856.68 × 8,374.12
  4. Step 4: Simplify right side
    25,904.32x = 325,390,501.12
  5. Step 5: Solve for x
    x = 325,390,501.12/25,904.32
  6. Step 6: Final answer
    x = 12,561.24

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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.