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Finding the Fourth Proportional to 25,605.46, 38,381.78 and 9,806.18

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Solution

The fourth proportional to 25,605.46, 38,381.78 and 9,806.18 is: 14,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605.46 : 38,381.78 = 9,806.18 : x
  2. Step 2: Convert to fraction form
    25,605.46/38,381.78 = 9,806.18/x
  3. Step 3: Cross multiply
    25,605.46x = 38,381.78 × 9,806.18
  4. Step 4: Simplify right side
    25,605.46x = 376,378,643.40
  5. Step 5: Solve for x
    x = 376,378,643.40/25,605.46
  6. Step 6: Final answer
    x = 14,699.16

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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.