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Finding the Fourth Proportional to 24,777.18, 37,155.29 and 9,982.12

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Solution

The fourth proportional to 24,777.18, 37,155.29 and 9,982.12 is: 14,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,777.18 : 37,155.29 = 9,982.12 : x
  2. Step 2: Convert to fraction form
    24,777.18/37,155.29 = 9,982.12/x
  3. Step 3: Cross multiply
    24,777.18x = 37,155.29 × 9,982.12
  4. Step 4: Simplify right side
    24,777.18x = 370,888,563.41
  5. Step 5: Solve for x
    x = 370,888,563.41/24,777.18
  6. Step 6: Final answer
    x = 14,968.96

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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.