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Finding the Fourth Proportional to 23,083.29, 31,862.84 and 13,526.24

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Solution

The fourth proportional to 23,083.29, 31,862.84 and 13,526.24 is: 18,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.29 : 31,862.84 = 13,526.24 : x
  2. Step 2: Convert to fraction form
    23,083.29/31,862.84 = 13,526.24/x
  3. Step 3: Cross multiply
    23,083.29x = 31,862.84 × 13,526.24
  4. Step 4: Simplify right side
    23,083.29x = 430,984,193.98
  5. Step 5: Solve for x
    x = 430,984,193.98/23,083.29
  6. Step 6: Final answer
    x = 18,670.83

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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.