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Finding the Fourth Proportional to 12,442.32, 18,647.08 and 5,042.74

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Solution

The fourth proportional to 12,442.32, 18,647.08 and 5,042.74 is: 7,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.32 : 18,647.08 = 5,042.74 : x
  2. Step 2: Convert to fraction form
    12,442.32/18,647.08 = 5,042.74/x
  3. Step 3: Cross multiply
    12,442.32x = 18,647.08 × 5,042.74
  4. Step 4: Simplify right side
    12,442.32x = 94,032,441.24
  5. Step 5: Solve for x
    x = 94,032,441.24/12,442.32
  6. Step 6: Final answer
    x = 7,557.47

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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.