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Finding the Fourth Proportional to 12,407.86, 17,121.96 and 7,102.60

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Solution

The fourth proportional to 12,407.86, 17,121.96 and 7,102.60 is: 9,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.86 : 17,121.96 = 7,102.60 : x
  2. Step 2: Convert to fraction form
    12,407.86/17,121.96 = 7,102.60/x
  3. Step 3: Cross multiply
    12,407.86x = 17,121.96 × 7,102.60
  4. Step 4: Simplify right side
    12,407.86x = 121,610,433.10
  5. Step 5: Solve for x
    x = 121,610,433.10/12,407.86
  6. Step 6: Final answer
    x = 9,801.08

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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.