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Finding the Fourth Proportional to 12,442.32, 18,666.36 and 6,284.88

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Solution

The fourth proportional to 12,442.32, 18,666.36 and 6,284.88 is: 9,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.32 : 18,666.36 = 6,284.88 : x
  2. Step 2: Convert to fraction form
    12,442.32/18,666.36 = 6,284.88/x
  3. Step 3: Cross multiply
    12,442.32x = 18,666.36 × 6,284.88
  4. Step 4: Simplify right side
    12,442.32x = 117,315,832.64
  5. Step 5: Solve for x
    x = 117,315,832.64/12,442.32
  6. Step 6: Final answer
    x = 9,428.77

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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.