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Finding the Fourth Proportional to 10,227.16, 14,154.06 and 9,981.82

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Solution

The fourth proportional to 10,227.16, 14,154.06 and 9,981.82 is: 13,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.16 : 14,154.06 = 9,981.82 : x
  2. Step 2: Convert to fraction form
    10,227.16/14,154.06 = 9,981.82/x
  3. Step 3: Cross multiply
    10,227.16x = 14,154.06 × 9,981.82
  4. Step 4: Simplify right side
    10,227.16x = 141,283,279.19
  5. Step 5: Solve for x
    x = 141,283,279.19/10,227.16
  6. Step 6: Final answer
    x = 13,814.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.