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Finding the Fourth Proportional to 12,435.77, 17,167.70 and 9,596.76

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Solution

The fourth proportional to 12,435.77, 17,167.70 and 9,596.76 is: 13,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.77 : 17,167.70 = 9,596.76 : x
  2. Step 2: Convert to fraction form
    12,435.77/17,167.70 = 9,596.76/x
  3. Step 3: Cross multiply
    12,435.77x = 17,167.70 × 9,596.76
  4. Step 4: Simplify right side
    12,435.77x = 164,754,296.65
  5. Step 5: Solve for x
    x = 164,754,296.65/12,435.77
  6. Step 6: Final answer
    x = 13,248.42

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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.