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Finding the Fourth Proportional to 24,561.76, 36,831.12 and 8,968.48

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Solution

The fourth proportional to 24,561.76, 36,831.12 and 8,968.48 is: 13,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.76 : 36,831.12 = 8,968.48 : x
  2. Step 2: Convert to fraction form
    24,561.76/36,831.12 = 8,968.48/x
  3. Step 3: Cross multiply
    24,561.76x = 36,831.12 × 8,968.48
  4. Step 4: Simplify right side
    24,561.76x = 330,319,163.10
  5. Step 5: Solve for x
    x = 330,319,163.10/24,561.76
  6. Step 6: Final answer
    x = 13,448.51

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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.