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Finding the Fourth Proportional to 10,159.84, 13,989.41 and 8,893.81

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Solution

The fourth proportional to 10,159.84, 13,989.41 and 8,893.81 is: 12,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.84 : 13,989.41 = 8,893.81 : x
  2. Step 2: Convert to fraction form
    10,159.84/13,989.41 = 8,893.81/x
  3. Step 3: Cross multiply
    10,159.84x = 13,989.41 × 8,893.81
  4. Step 4: Simplify right side
    10,159.84x = 124,419,154.55
  5. Step 5: Solve for x
    x = 124,419,154.55/10,159.84
  6. Step 6: Final answer
    x = 12,246.17

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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.