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Finding the Fourth Proportional to 14,378.60, 19,841.82 and 8,713.28

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Solution

The fourth proportional to 14,378.60, 19,841.82 and 8,713.28 is: 12,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.60 : 19,841.82 = 8,713.28 : x
  2. Step 2: Convert to fraction form
    14,378.60/19,841.82 = 8,713.28/x
  3. Step 3: Cross multiply
    14,378.60x = 19,841.82 × 8,713.28
  4. Step 4: Simplify right side
    14,378.60x = 172,887,333.37
  5. Step 5: Solve for x
    x = 172,887,333.37/14,378.60
  6. Step 6: Final answer
    x = 12,023.93

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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.