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Finding the Fourth Proportional to 14,165.14, 19,546.65 and 7,877.86

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Solution

The fourth proportional to 14,165.14, 19,546.65 and 7,877.86 is: 10,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.14 : 19,546.65 = 7,877.86 : x
  2. Step 2: Convert to fraction form
    14,165.14/19,546.65 = 7,877.86/x
  3. Step 3: Cross multiply
    14,165.14x = 19,546.65 × 7,877.86
  4. Step 4: Simplify right side
    14,165.14x = 153,985,772.17
  5. Step 5: Solve for x
    x = 153,985,772.17/14,165.14
  6. Step 6: Final answer
    x = 10,870.76

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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.