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Finding the Fourth Proportional to 22,541.64, 31,079.10 and 14,461.02

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Solution

The fourth proportional to 22,541.64, 31,079.10 and 14,461.02 is: 19,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,541.64 : 31,079.10 = 14,461.02 : x
  2. Step 2: Convert to fraction form
    22,541.64/31,079.10 = 14,461.02/x
  3. Step 3: Cross multiply
    22,541.64x = 31,079.10 × 14,461.02
  4. Step 4: Simplify right side
    22,541.64x = 449,435,486.68
  5. Step 5: Solve for x
    x = 449,435,486.68/22,541.64
  6. Step 6: Final answer
    x = 19,938.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.