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Finding the Fourth Proportional to 25,914, 35,760.88 and 14,583.48

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Solution

The fourth proportional to 25,914, 35,760.88 and 14,583.48 is: 20,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914 : 35,760.88 = 14,583.48 : x
  2. Step 2: Convert to fraction form
    25,914/35,760.88 = 14,583.48/x
  3. Step 3: Cross multiply
    25,914x = 35,760.88 × 14,583.48
  4. Step 4: Simplify right side
    25,914x = 521,518,078.26
  5. Step 5: Solve for x
    x = 521,518,078.26/25,914
  6. Step 6: Final answer
    x = 20,124.95

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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.