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Finding the Fourth Proportional to 24,337.42, 36,509.71 and 7,693.68

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Solution

The fourth proportional to 24,337.42, 36,509.71 and 7,693.68 is: 11,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,337.42 : 36,509.71 = 7,693.68 : x
  2. Step 2: Convert to fraction form
    24,337.42/36,509.71 = 7,693.68/x
  3. Step 3: Cross multiply
    24,337.42x = 36,509.71 × 7,693.68
  4. Step 4: Simplify right side
    24,337.42x = 280,893,823.85
  5. Step 5: Solve for x
    x = 280,893,823.85/24,337.42
  6. Step 6: Final answer
    x = 11,541.64

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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.