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Finding the Fourth Proportional to 25,654, 38,452.98 and 16,298.20

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Solution

The fourth proportional to 25,654, 38,452.98 and 16,298.20 is: 24,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,654 : 38,452.98 = 16,298.20 : x
  2. Step 2: Convert to fraction form
    25,654/38,452.98 = 16,298.20/x
  3. Step 3: Cross multiply
    25,654x = 38,452.98 × 16,298.20
  4. Step 4: Simplify right side
    25,654x = 626,714,358.64
  5. Step 5: Solve for x
    x = 626,714,358.64/25,654
  6. Step 6: Final answer
    x = 24,429.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.