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Finding the Fourth Proportional to 12,306.40, 16,985.16 and 7,709.32

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Solution

The fourth proportional to 12,306.40, 16,985.16 and 7,709.32 is: 10,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.40 : 16,985.16 = 7,709.32 : x
  2. Step 2: Convert to fraction form
    12,306.40/16,985.16 = 7,709.32/x
  3. Step 3: Cross multiply
    12,306.40x = 16,985.16 × 7,709.32
  4. Step 4: Simplify right side
    12,306.40x = 130,944,033.69
  5. Step 5: Solve for x
    x = 130,944,033.69/12,306.40
  6. Step 6: Final answer
    x = 10,640.32

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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.