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Finding the Fourth Proportional to 24,317.74, 36,478.23 and 7,678.45

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Solution

The fourth proportional to 24,317.74, 36,478.23 and 7,678.45 is: 11,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,317.74 : 36,478.23 = 7,678.45 : x
  2. Step 2: Convert to fraction form
    24,317.74/36,478.23 = 7,678.45/x
  3. Step 3: Cross multiply
    24,317.74x = 36,478.23 × 7,678.45
  4. Step 4: Simplify right side
    24,317.74x = 280,096,265.14
  5. Step 5: Solve for x
    x = 280,096,265.14/24,317.74
  6. Step 6: Final answer
    x = 11,518.19

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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.