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Finding the Fourth Proportional to 23,312.30, 34,926.98 and 13,431.16

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Solution

The fourth proportional to 23,312.30, 34,926.98 and 13,431.16 is: 20,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.30 : 34,926.98 = 13,431.16 : x
  2. Step 2: Convert to fraction form
    23,312.30/34,926.98 = 13,431.16/x
  3. Step 3: Cross multiply
    23,312.30x = 34,926.98 × 13,431.16
  4. Step 4: Simplify right side
    23,312.30x = 469,109,802.96
  5. Step 5: Solve for x
    x = 469,109,802.96/23,312.30
  6. Step 6: Final answer
    x = 20,122.85

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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.