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Finding the Fourth Proportional to 18,532, 25,574.16 and 10,148.52

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Solution

The fourth proportional to 18,532, 25,574.16 and 10,148.52 is: 14,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532 : 25,574.16 = 10,148.52 : x
  2. Step 2: Convert to fraction form
    18,532/25,574.16 = 10,148.52/x
  3. Step 3: Cross multiply
    18,532x = 25,574.16 × 10,148.52
  4. Step 4: Simplify right side
    18,532x = 259,539,874.24
  5. Step 5: Solve for x
    x = 259,539,874.24/18,532
  6. Step 6: Final answer
    x = 14,004.96

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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.