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Finding the Fourth Proportional to 24,746.40, 37,123.20 and 8,103.60

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Solution

The fourth proportional to 24,746.40, 37,123.20 and 8,103.60 is: 12,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746.40 : 37,123.20 = 8,103.60 : x
  2. Step 2: Convert to fraction form
    24,746.40/37,123.20 = 8,103.60/x
  3. Step 3: Cross multiply
    24,746.40x = 37,123.20 × 8,103.60
  4. Step 4: Simplify right side
    24,746.40x = 300,831,563.52
  5. Step 5: Solve for x
    x = 300,831,563.52/24,746.40
  6. Step 6: Final answer
    x = 12,156.58

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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.