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Finding the Fourth Proportional to 23,000.02, 34,412.55 and 14,213.14

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Solution

The fourth proportional to 23,000.02, 34,412.55 and 14,213.14 is: 21,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.02 : 34,412.55 = 14,213.14 : x
  2. Step 2: Convert to fraction form
    23,000.02/34,412.55 = 14,213.14/x
  3. Step 3: Cross multiply
    23,000.02x = 34,412.55 × 14,213.14
  4. Step 4: Simplify right side
    23,000.02x = 489,110,390.91
  5. Step 5: Solve for x
    x = 489,110,390.91/23,000.02
  6. Step 6: Final answer
    x = 21,265.65

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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.