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Finding the Fourth Proportional to 27,510.38, 41,265.63 and 9,980.22

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Solution

The fourth proportional to 27,510.38, 41,265.63 and 9,980.22 is: 14,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,510.38 : 41,265.63 = 9,980.22 : x
  2. Step 2: Convert to fraction form
    27,510.38/41,265.63 = 9,980.22/x
  3. Step 3: Cross multiply
    27,510.38x = 41,265.63 × 9,980.22
  4. Step 4: Simplify right side
    27,510.38x = 411,840,065.84
  5. Step 5: Solve for x
    x = 411,840,065.84/27,510.38
  6. Step 6: Final answer
    x = 14,970.35

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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.