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Finding the Fourth Proportional to 23,225.16, 34,842.98 and 8,434.04

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Solution

The fourth proportional to 23,225.16, 34,842.98 and 8,434.04 is: 12,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.16 : 34,842.98 = 8,434.04 : x
  2. Step 2: Convert to fraction form
    23,225.16/34,842.98 = 8,434.04/x
  3. Step 3: Cross multiply
    23,225.16x = 34,842.98 × 8,434.04
  4. Step 4: Simplify right side
    23,225.16x = 293,867,087.04
  5. Step 5: Solve for x
    x = 293,867,087.04/23,225.16
  6. Step 6: Final answer
    x = 12,652.96

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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.