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Finding the Fourth Proportional to 24,610.40, 36,915.68 and 9,823.04

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Solution

The fourth proportional to 24,610.40, 36,915.68 and 9,823.04 is: 14,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,610.40 : 36,915.68 = 9,823.04 : x
  2. Step 2: Convert to fraction form
    24,610.40/36,915.68 = 9,823.04/x
  3. Step 3: Cross multiply
    24,610.40x = 36,915.68 × 9,823.04
  4. Step 4: Simplify right side
    24,610.40x = 362,624,201.27
  5. Step 5: Solve for x
    x = 362,624,201.27/24,610.40
  6. Step 6: Final answer
    x = 14,734.59

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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.