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Finding the Fourth Proportional to 24,742.80, 37,114.20 and 16,477.20

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Solution

The fourth proportional to 24,742.80, 37,114.20 and 16,477.20 is: 24,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.80 : 37,114.20 = 16,477.20 : x
  2. Step 2: Convert to fraction form
    24,742.80/37,114.20 = 16,477.20/x
  3. Step 3: Cross multiply
    24,742.80x = 37,114.20 × 16,477.20
  4. Step 4: Simplify right side
    24,742.80x = 611,538,096.24
  5. Step 5: Solve for x
    x = 611,538,096.24/24,742.80
  6. Step 6: Final answer
    x = 24,715.80

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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.