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Finding the Fourth Proportional to 12,041.86, 16,619.80 and 7,567.42

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Solution

The fourth proportional to 12,041.86, 16,619.80 and 7,567.42 is: 10,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.86 : 16,619.80 = 7,567.42 : x
  2. Step 2: Convert to fraction form
    12,041.86/16,619.80 = 7,567.42/x
  3. Step 3: Cross multiply
    12,041.86x = 16,619.80 × 7,567.42
  4. Step 4: Simplify right side
    12,041.86x = 125,769,006.92
  5. Step 5: Solve for x
    x = 125,769,006.92/12,041.86
  6. Step 6: Final answer
    x = 10,444.32

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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.