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Finding the Fourth Proportional to 16,671.76, 23,007.62 and 9,117.64

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Solution

The fourth proportional to 16,671.76, 23,007.62 and 9,117.64 is: 12,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,671.76 : 23,007.62 = 9,117.64 : x
  2. Step 2: Convert to fraction form
    16,671.76/23,007.62 = 9,117.64/x
  3. Step 3: Cross multiply
    16,671.76x = 23,007.62 × 9,117.64
  4. Step 4: Simplify right side
    16,671.76x = 209,775,035.79
  5. Step 5: Solve for x
    x = 209,775,035.79/16,671.76
  6. Step 6: Final answer
    x = 12,582.66

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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.