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Finding the Fourth Proportional to 24,576, 33,915.68 and 13,398.72

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Solution

The fourth proportional to 24,576, 33,915.68 and 13,398.72 is: 18,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576 : 33,915.68 = 13,398.72 : x
  2. Step 2: Convert to fraction form
    24,576/33,915.68 = 13,398.72/x
  3. Step 3: Cross multiply
    24,576x = 33,915.68 × 13,398.72
  4. Step 4: Simplify right side
    24,576x = 454,426,699.93
  5. Step 5: Solve for x
    x = 454,426,699.93/24,576
  6. Step 6: Final answer
    x = 18,490.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.