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Finding the Fourth Proportional to 24,139.94, 36,221.43 and 8,564.90

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Solution

The fourth proportional to 24,139.94, 36,221.43 and 8,564.90 is: 12,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,139.94 : 36,221.43 = 8,564.90 : x
  2. Step 2: Convert to fraction form
    24,139.94/36,221.43 = 8,564.90/x
  3. Step 3: Cross multiply
    24,139.94x = 36,221.43 × 8,564.90
  4. Step 4: Simplify right side
    24,139.94x = 310,232,925.81
  5. Step 5: Solve for x
    x = 310,232,925.81/24,139.94
  6. Step 6: Final answer
    x = 12,851.44

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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.