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Finding the Fourth Proportional to 12,417.86, 17,131.80 and 7,109.84

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Solution

The fourth proportional to 12,417.86, 17,131.80 and 7,109.84 is: 9,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.86 : 17,131.80 = 7,109.84 : x
  2. Step 2: Convert to fraction form
    12,417.86/17,131.80 = 7,109.84/x
  3. Step 3: Cross multiply
    12,417.86x = 17,131.80 × 7,109.84
  4. Step 4: Simplify right side
    12,417.86x = 121,804,356.91
  5. Step 5: Solve for x
    x = 121,804,356.91/12,417.86
  6. Step 6: Final answer
    x = 9,808.80

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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.