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Finding the Fourth Proportional to 20,752.60, 31,064.10 and 16,346.20

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Solution

The fourth proportional to 20,752.60, 31,064.10 and 16,346.20 is: 24,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752.60 : 31,064.10 = 16,346.20 : x
  2. Step 2: Convert to fraction form
    20,752.60/31,064.10 = 16,346.20/x
  3. Step 3: Cross multiply
    20,752.60x = 31,064.10 × 16,346.20
  4. Step 4: Simplify right side
    20,752.60x = 507,779,991.42
  5. Step 5: Solve for x
    x = 507,779,991.42/20,752.60
  6. Step 6: Final answer
    x = 24,468.26

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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.