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Finding the Fourth Proportional to 12,348.66, 17,036.34 and 7,871.64

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Solution

The fourth proportional to 12,348.66, 17,036.34 and 7,871.64 is: 10,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.66 : 17,036.34 = 7,871.64 : x
  2. Step 2: Convert to fraction form
    12,348.66/17,036.34 = 7,871.64/x
  3. Step 3: Cross multiply
    12,348.66x = 17,036.34 × 7,871.64
  4. Step 4: Simplify right side
    12,348.66x = 134,103,935.40
  5. Step 5: Solve for x
    x = 134,103,935.40/12,348.66
  6. Step 6: Final answer
    x = 10,859.80

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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.