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Finding the Fourth Proportional to 24,829.54, 37,243.40 and 8,189.10

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Solution

The fourth proportional to 24,829.54, 37,243.40 and 8,189.10 is: 12,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.54 : 37,243.40 = 8,189.10 : x
  2. Step 2: Convert to fraction form
    24,829.54/37,243.40 = 8,189.10/x
  3. Step 3: Cross multiply
    24,829.54x = 37,243.40 × 8,189.10
  4. Step 4: Simplify right side
    24,829.54x = 304,989,885.99
  5. Step 5: Solve for x
    x = 304,989,885.99/24,829.54
  6. Step 6: Final answer
    x = 12,283.35

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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.