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Finding the Fourth Proportional to 22,033, 30,405.54 and 12,097.64

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Solution

The fourth proportional to 22,033, 30,405.54 and 12,097.64 is: 16,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033 : 30,405.54 = 12,097.64 : x
  2. Step 2: Convert to fraction form
    22,033/30,405.54 = 12,097.64/x
  3. Step 3: Cross multiply
    22,033x = 30,405.54 × 12,097.64
  4. Step 4: Simplify right side
    22,033x = 367,835,276.93
  5. Step 5: Solve for x
    x = 367,835,276.93/22,033
  6. Step 6: Final answer
    x = 16,694.74

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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.