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Finding the Fourth Proportional to 12,700.48, 19,050.56 and 5,678.64

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Solution

The fourth proportional to 12,700.48, 19,050.56 and 5,678.64 is: 8,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.48 : 19,050.56 = 5,678.64 : x
  2. Step 2: Convert to fraction form
    12,700.48/19,050.56 = 5,678.64/x
  3. Step 3: Cross multiply
    12,700.48x = 19,050.56 × 5,678.64
  4. Step 4: Simplify right side
    12,700.48x = 108,181,272.04
  5. Step 5: Solve for x
    x = 108,181,272.04/12,700.48
  6. Step 6: Final answer
    x = 8,517.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.