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Finding the Fourth Proportional to 25,695.16, 38,549.70 and 8,165.40

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Solution

The fourth proportional to 25,695.16, 38,549.70 and 8,165.40 is: 12,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,695.16 : 38,549.70 = 8,165.40 : x
  2. Step 2: Convert to fraction form
    25,695.16/38,549.70 = 8,165.40/x
  3. Step 3: Cross multiply
    25,695.16x = 38,549.70 × 8,165.40
  4. Step 4: Simplify right side
    25,695.16x = 314,773,720.38
  5. Step 5: Solve for x
    x = 314,773,720.38/25,695.16
  6. Step 6: Final answer
    x = 12,250.31

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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.