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Finding the Fourth Proportional to 23,234.30, 32,066.04 and 13,802.86

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Solution

The fourth proportional to 23,234.30, 32,066.04 and 13,802.86 is: 19,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.30 : 32,066.04 = 13,802.86 : x
  2. Step 2: Convert to fraction form
    23,234.30/32,066.04 = 13,802.86/x
  3. Step 3: Cross multiply
    23,234.30x = 32,066.04 × 13,802.86
  4. Step 4: Simplify right side
    23,234.30x = 442,603,060.87
  5. Step 5: Solve for x
    x = 442,603,060.87/23,234.30
  6. Step 6: Final answer
    x = 19,049.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.