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Finding the Fourth Proportional to 12,235.47, 16,886.13 and 6,858.81

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Solution

The fourth proportional to 12,235.47, 16,886.13 and 6,858.81 is: 9,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.47 : 16,886.13 = 6,858.81 : x
  2. Step 2: Convert to fraction form
    12,235.47/16,886.13 = 6,858.81/x
  3. Step 3: Cross multiply
    12,235.47x = 16,886.13 × 6,858.81
  4. Step 4: Simplify right side
    12,235.47x = 115,818,757.31
  5. Step 5: Solve for x
    x = 115,818,757.31/12,235.47
  6. Step 6: Final answer
    x = 9,465.82

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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.