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Finding the Fourth Proportional to 12,415.74, 17,148.39 and 9,562.86

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Solution

The fourth proportional to 12,415.74, 17,148.39 and 9,562.86 is: 13,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.74 : 17,148.39 = 9,562.86 : x
  2. Step 2: Convert to fraction form
    12,415.74/17,148.39 = 9,562.86/x
  3. Step 3: Cross multiply
    12,415.74x = 17,148.39 × 9,562.86
  4. Step 4: Simplify right side
    12,415.74x = 163,987,652.80
  5. Step 5: Solve for x
    x = 163,987,652.80/12,415.74
  6. Step 6: Final answer
    x = 13,208.05

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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.