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Finding the Fourth Proportional to 25,537.17, 38,305.77 and 6,817.28

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Solution

The fourth proportional to 25,537.17, 38,305.77 and 6,817.28 is: 10,225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,537.17 : 38,305.77 = 6,817.28 : x
  2. Step 2: Convert to fraction form
    25,537.17/38,305.77 = 6,817.28/x
  3. Step 3: Cross multiply
    25,537.17x = 38,305.77 × 6,817.28
  4. Step 4: Simplify right side
    25,537.17x = 261,141,159.71
  5. Step 5: Solve for x
    x = 261,141,159.71/25,537.17
  6. Step 6: Final answer
    x = 10,225.92

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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.