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Finding the Fourth Proportional to 24,323.76, 36,483.69 and 7,684.29

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Solution

The fourth proportional to 24,323.76, 36,483.69 and 7,684.29 is: 11,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,323.76 : 36,483.69 = 7,684.29 : x
  2. Step 2: Convert to fraction form
    24,323.76/36,483.69 = 7,684.29/x
  3. Step 3: Cross multiply
    24,323.76x = 36,483.69 × 7,684.29
  4. Step 4: Simplify right side
    24,323.76x = 280,351,254.23
  5. Step 5: Solve for x
    x = 280,351,254.23/24,323.76
  6. Step 6: Final answer
    x = 11,525.82

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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.