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Finding the Fourth Proportional to 25,565.17, 38,345.08 and 6,847.14

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Solution

The fourth proportional to 25,565.17, 38,345.08 and 6,847.14 is: 10,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,565.17 : 38,345.08 = 6,847.14 : x
  2. Step 2: Convert to fraction form
    25,565.17/38,345.08 = 6,847.14/x
  3. Step 3: Cross multiply
    25,565.17x = 38,345.08 × 6,847.14
  4. Step 4: Simplify right side
    25,565.17x = 262,554,131.07
  5. Step 5: Solve for x
    x = 262,554,131.07/25,565.17
  6. Step 6: Final answer
    x = 10,269.99

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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.