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Finding the Fourth Proportional to 19,638.92, 29,459.84 and 6,312.06

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Solution

The fourth proportional to 19,638.92, 29,459.84 and 6,312.06 is: 9,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.92 : 29,459.84 = 6,312.06 : x
  2. Step 2: Convert to fraction form
    19,638.92/29,459.84 = 6,312.06/x
  3. Step 3: Cross multiply
    19,638.92x = 29,459.84 × 6,312.06
  4. Step 4: Simplify right side
    19,638.92x = 185,952,246.11
  5. Step 5: Solve for x
    x = 185,952,246.11/19,638.92
  6. Step 6: Final answer
    x = 9,468.56

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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.