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Finding the Fourth Proportional to 21,477.38, 29,642.02 and 13,098.74

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Solution

The fourth proportional to 21,477.38, 29,642.02 and 13,098.74 is: 18,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.38 : 29,642.02 = 13,098.74 : x
  2. Step 2: Convert to fraction form
    21,477.38/29,642.02 = 13,098.74/x
  3. Step 3: Cross multiply
    21,477.38x = 29,642.02 × 13,098.74
  4. Step 4: Simplify right side
    21,477.38x = 388,273,113.05
  5. Step 5: Solve for x
    x = 388,273,113.05/21,477.38
  6. Step 6: Final answer
    x = 18,078.23

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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.