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Finding the Fourth Proportional to 12,442.61, 18,666.54 and 4,122.15

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Solution

The fourth proportional to 12,442.61, 18,666.54 and 4,122.15 is: 6,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.61 : 18,666.54 = 4,122.15 : x
  2. Step 2: Convert to fraction form
    12,442.61/18,666.54 = 4,122.15/x
  3. Step 3: Cross multiply
    12,442.61x = 18,666.54 × 4,122.15
  4. Step 4: Simplify right side
    12,442.61x = 76,946,277.86
  5. Step 5: Solve for x
    x = 76,946,277.86/12,442.61
  6. Step 6: Final answer
    x = 6,184.10

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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.