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Finding the Fourth Proportional to 22,548.13, 31,102.86 and 14,891.48

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Solution

The fourth proportional to 22,548.13, 31,102.86 and 14,891.48 is: 20,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.13 : 31,102.86 = 14,891.48 : x
  2. Step 2: Convert to fraction form
    22,548.13/31,102.86 = 14,891.48/x
  3. Step 3: Cross multiply
    22,548.13x = 31,102.86 × 14,891.48
  4. Step 4: Simplify right side
    22,548.13x = 463,167,462.12
  5. Step 5: Solve for x
    x = 463,167,462.12/22,548.13
  6. Step 6: Final answer
    x = 20,541.28

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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.