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Finding the Fourth Proportional to 12,342.80, 18,484.76 and 7,886.46

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Solution

The fourth proportional to 12,342.80, 18,484.76 and 7,886.46 is: 11,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.80 : 18,484.76 = 7,886.46 : x
  2. Step 2: Convert to fraction form
    12,342.80/18,484.76 = 7,886.46/x
  3. Step 3: Cross multiply
    12,342.80x = 18,484.76 × 7,886.46
  4. Step 4: Simplify right side
    12,342.80x = 145,779,340.07
  5. Step 5: Solve for x
    x = 145,779,340.07/12,342.80
  6. Step 6: Final answer
    x = 11,810.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.