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Finding the Fourth Proportional to 23,312.49, 34,999.22 and 13,842.10

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Solution

The fourth proportional to 23,312.49, 34,999.22 and 13,842.10 is: 20,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.49 : 34,999.22 = 13,842.10 : x
  2. Step 2: Convert to fraction form
    23,312.49/34,999.22 = 13,842.10/x
  3. Step 3: Cross multiply
    23,312.49x = 34,999.22 × 13,842.10
  4. Step 4: Simplify right side
    23,312.49x = 484,462,703.16
  5. Step 5: Solve for x
    x = 484,462,703.16/23,312.49
  6. Step 6: Final answer
    x = 20,781.25

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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.