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Finding the Fourth Proportional to 23,124.38, 31,899.89 and 14,047.32

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Solution

The fourth proportional to 23,124.38, 31,899.89 and 14,047.32 is: 19,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.38 : 31,899.89 = 14,047.32 : x
  2. Step 2: Convert to fraction form
    23,124.38/31,899.89 = 14,047.32/x
  3. Step 3: Cross multiply
    23,124.38x = 31,899.89 × 14,047.32
  4. Step 4: Simplify right side
    23,124.38x = 448,107,962.79
  5. Step 5: Solve for x
    x = 448,107,962.79/23,124.38
  6. Step 6: Final answer
    x = 19,378.16

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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.