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Finding the Fourth Proportional to 24,933.54, 37,389.78 and 8,289.12

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Solution

The fourth proportional to 24,933.54, 37,389.78 and 8,289.12 is: 12,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,933.54 : 37,389.78 = 8,289.12 : x
  2. Step 2: Convert to fraction form
    24,933.54/37,389.78 = 8,289.12/x
  3. Step 3: Cross multiply
    24,933.54x = 37,389.78 × 8,289.12
  4. Step 4: Simplify right side
    24,933.54x = 309,928,373.19
  5. Step 5: Solve for x
    x = 309,928,373.19/24,933.54
  6. Step 6: Final answer
    x = 12,430.18

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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.