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Finding the Fourth Proportional to 22,995.36, 31,740.12 and 14,499

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Solution

The fourth proportional to 22,995.36, 31,740.12 and 14,499 is: 20,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,995.36 : 31,740.12 = 14,499 : x
  2. Step 2: Convert to fraction form
    22,995.36/31,740.12 = 14,499/x
  3. Step 3: Cross multiply
    22,995.36x = 31,740.12 × 14,499
  4. Step 4: Simplify right side
    22,995.36x = 460,199,999.88
  5. Step 5: Solve for x
    x = 460,199,999.88/22,995.36
  6. Step 6: Final answer
    x = 20,012.73

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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.