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Finding the Fourth Proportional to 16,254.96, 24,369 and 7,482.48

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Solution

The fourth proportional to 16,254.96, 24,369 and 7,482.48 is: 11,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.96 : 24,369 = 7,482.48 : x
  2. Step 2: Convert to fraction form
    16,254.96/24,369 = 7,482.48/x
  3. Step 3: Cross multiply
    16,254.96x = 24,369 × 7,482.48
  4. Step 4: Simplify right side
    16,254.96x = 182,340,555.12
  5. Step 5: Solve for x
    x = 182,340,555.12/16,254.96
  6. Step 6: Final answer
    x = 11,217.53

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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.