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Finding the Fourth Proportional to 12,242.52, 16,886.76 and 8,412.32

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Solution

The fourth proportional to 12,242.52, 16,886.76 and 8,412.32 is: 11,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.52 : 16,886.76 = 8,412.32 : x
  2. Step 2: Convert to fraction form
    12,242.52/16,886.76 = 8,412.32/x
  3. Step 3: Cross multiply
    12,242.52x = 16,886.76 × 8,412.32
  4. Step 4: Simplify right side
    12,242.52x = 142,056,828.88
  5. Step 5: Solve for x
    x = 142,056,828.88/12,242.52
  6. Step 6: Final answer
    x = 11,603.56

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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.