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Finding the Fourth Proportional to 24,585.68, 36,834.68 and 10,322.64

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Solution

The fourth proportional to 24,585.68, 36,834.68 and 10,322.64 is: 15,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,585.68 : 36,834.68 = 10,322.64 : x
  2. Step 2: Convert to fraction form
    24,585.68/36,834.68 = 10,322.64/x
  3. Step 3: Cross multiply
    24,585.68x = 36,834.68 × 10,322.64
  4. Step 4: Simplify right side
    24,585.68x = 380,231,141.16
  5. Step 5: Solve for x
    x = 380,231,141.16/24,585.68
  6. Step 6: Final answer
    x = 15,465.55

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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.