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Finding the Fourth Proportional to 14,781.56, 22,164.17 and 10,106.82

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Solution

The fourth proportional to 14,781.56, 22,164.17 and 10,106.82 is: 15,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,781.56 : 22,164.17 = 10,106.82 : x
  2. Step 2: Convert to fraction form
    14,781.56/22,164.17 = 10,106.82/x
  3. Step 3: Cross multiply
    14,781.56x = 22,164.17 × 10,106.82
  4. Step 4: Simplify right side
    14,781.56x = 224,009,226.11
  5. Step 5: Solve for x
    x = 224,009,226.11/14,781.56
  6. Step 6: Final answer
    x = 15,154.65

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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.