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Finding the Fourth Proportional to 14,247.80, 19,657.64 and 8,278.31

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Solution

The fourth proportional to 14,247.80, 19,657.64 and 8,278.31 is: 11,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,247.80 : 19,657.64 = 8,278.31 : x
  2. Step 2: Convert to fraction form
    14,247.80/19,657.64 = 8,278.31/x
  3. Step 3: Cross multiply
    14,247.80x = 19,657.64 × 8,278.31
  4. Step 4: Simplify right side
    14,247.80x = 162,731,898.11
  5. Step 5: Solve for x
    x = 162,731,898.11/14,247.80
  6. Step 6: Final answer
    x = 11,421.55

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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.