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Finding the Fourth Proportional to 13,665.60, 18,860.31 and 7,698.42

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Solution

The fourth proportional to 13,665.60, 18,860.31 and 7,698.42 is: 10,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.60 : 18,860.31 = 7,698.42 : x
  2. Step 2: Convert to fraction form
    13,665.60/18,860.31 = 7,698.42/x
  3. Step 3: Cross multiply
    13,665.60x = 18,860.31 × 7,698.42
  4. Step 4: Simplify right side
    13,665.60x = 145,194,587.71
  5. Step 5: Solve for x
    x = 145,194,587.71/13,665.60
  6. Step 6: Final answer
    x = 10,624.82

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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.