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Finding the Fourth Proportional to 24,533.53, 36,805.32 and 9,540.29

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Solution

The fourth proportional to 24,533.53, 36,805.32 and 9,540.29 is: 14,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.53 : 36,805.32 = 9,540.29 : x
  2. Step 2: Convert to fraction form
    24,533.53/36,805.32 = 9,540.29/x
  3. Step 3: Cross multiply
    24,533.53x = 36,805.32 × 9,540.29
  4. Step 4: Simplify right side
    24,533.53x = 351,133,518.36
  5. Step 5: Solve for x
    x = 351,133,518.36/24,533.53
  6. Step 6: Final answer
    x = 14,312.39

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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.