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Finding the Fourth Proportional to 24,988, 34,483.48 and 13,810

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Solution

The fourth proportional to 24,988, 34,483.48 and 13,810 is: 19,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,988 : 34,483.48 = 13,810 : x
  2. Step 2: Convert to fraction form
    24,988/34,483.48 = 13,810/x
  3. Step 3: Cross multiply
    24,988x = 34,483.48 × 13,810
  4. Step 4: Simplify right side
    24,988x = 476,216,858.80
  5. Step 5: Solve for x
    x = 476,216,858.80/24,988
  6. Step 6: Final answer
    x = 19,057.82

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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.