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Finding the Fourth Proportional to 25,218, 34,801.08 and 14,040.24

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Solution

The fourth proportional to 25,218, 34,801.08 and 14,040.24 is: 19,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,218 : 34,801.08 = 14,040.24 : x
  2. Step 2: Convert to fraction form
    25,218/34,801.08 = 14,040.24/x
  3. Step 3: Cross multiply
    25,218x = 34,801.08 × 14,040.24
  4. Step 4: Simplify right side
    25,218x = 488,615,515.46
  5. Step 5: Solve for x
    x = 488,615,515.46/25,218
  6. Step 6: Final answer
    x = 19,375.66

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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.