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Finding the Fourth Proportional to 24,177.60, 36,237.60 and 10,137.60

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Solution

The fourth proportional to 24,177.60, 36,237.60 and 10,137.60 is: 15,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177.60 : 36,237.60 = 10,137.60 : x
  2. Step 2: Convert to fraction form
    24,177.60/36,237.60 = 10,137.60/x
  3. Step 3: Cross multiply
    24,177.60x = 36,237.60 × 10,137.60
  4. Step 4: Simplify right side
    24,177.60x = 367,362,293.76
  5. Step 5: Solve for x
    x = 367,362,293.76/24,177.60
  6. Step 6: Final answer
    x = 15,194.32

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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.