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Finding the Fourth Proportional to 14,265.60, 19,686.24 and 8,678.40

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Solution

The fourth proportional to 14,265.60, 19,686.24 and 8,678.40 is: 11,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.60 : 19,686.24 = 8,678.40 : x
  2. Step 2: Convert to fraction form
    14,265.60/19,686.24 = 8,678.40/x
  3. Step 3: Cross multiply
    14,265.60x = 19,686.24 × 8,678.40
  4. Step 4: Simplify right side
    14,265.60x = 170,845,065.22
  5. Step 5: Solve for x
    x = 170,845,065.22/14,265.60
  6. Step 6: Final answer
    x = 11,976.02

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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.