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Finding the Fourth Proportional to 16,407.86, 24,606.39 and 9,020.66

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Solution

The fourth proportional to 16,407.86, 24,606.39 and 9,020.66 is: 13,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.86 : 24,606.39 = 9,020.66 : x
  2. Step 2: Convert to fraction form
    16,407.86/24,606.39 = 9,020.66/x
  3. Step 3: Cross multiply
    16,407.86x = 24,606.39 × 9,020.66
  4. Step 4: Simplify right side
    16,407.86x = 221,965,878.02
  5. Step 5: Solve for x
    x = 221,965,878.02/16,407.86
  6. Step 6: Final answer
    x = 13,528.02

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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.