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Finding the Fourth Proportional to 12,601.86, 17,390.96 and 7,225.08

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Solution

The fourth proportional to 12,601.86, 17,390.96 and 7,225.08 is: 9,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601.86 : 17,390.96 = 7,225.08 : x
  2. Step 2: Convert to fraction form
    12,601.86/17,390.96 = 7,225.08/x
  3. Step 3: Cross multiply
    12,601.86x = 17,390.96 × 7,225.08
  4. Step 4: Simplify right side
    12,601.86x = 125,651,041.15
  5. Step 5: Solve for x
    x = 125,651,041.15/12,601.86
  6. Step 6: Final answer
    x = 9,970.83

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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.