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Finding the Fourth Proportional to 24,461.16, 36,701.44 and 7,823.76

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Solution

The fourth proportional to 24,461.16, 36,701.44 and 7,823.76 is: 11,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.16 : 36,701.44 = 7,823.76 : x
  2. Step 2: Convert to fraction form
    24,461.16/36,701.44 = 7,823.76/x
  3. Step 3: Cross multiply
    24,461.16x = 36,701.44 × 7,823.76
  4. Step 4: Simplify right side
    24,461.16x = 287,143,258.21
  5. Step 5: Solve for x
    x = 287,143,258.21/24,461.16
  6. Step 6: Final answer
    x = 11,738.74

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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.