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Finding the Fourth Proportional to 24,587.76, 36,863.76 and 9,792.24

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Solution

The fourth proportional to 24,587.76, 36,863.76 and 9,792.24 is: 14,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,587.76 : 36,863.76 = 9,792.24 : x
  2. Step 2: Convert to fraction form
    24,587.76/36,863.76 = 9,792.24/x
  3. Step 3: Cross multiply
    24,587.76x = 36,863.76 × 9,792.24
  4. Step 4: Simplify right side
    24,587.76x = 360,978,785.22
  5. Step 5: Solve for x
    x = 360,978,785.22/24,587.76
  6. Step 6: Final answer
    x = 14,681.24

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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.