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Finding the Fourth Proportional to 19,442.32, 29,168.10 and 6,294.68

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Solution

The fourth proportional to 19,442.32, 29,168.10 and 6,294.68 is: 9,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,442.32 : 29,168.10 = 6,294.68 : x
  2. Step 2: Convert to fraction form
    19,442.32/29,168.10 = 6,294.68/x
  3. Step 3: Cross multiply
    19,442.32x = 29,168.10 × 6,294.68
  4. Step 4: Simplify right side
    19,442.32x = 183,603,855.71
  5. Step 5: Solve for x
    x = 183,603,855.71/19,442.32
  6. Step 6: Final answer
    x = 9,443.52

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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.