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Finding the Fourth Proportional to 23,972, 35,965.08 and 12,293.40

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Solution

The fourth proportional to 23,972, 35,965.08 and 12,293.40 is: 18,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,972 : 35,965.08 = 12,293.40 : x
  2. Step 2: Convert to fraction form
    23,972/35,965.08 = 12,293.40/x
  3. Step 3: Cross multiply
    23,972x = 35,965.08 × 12,293.40
  4. Step 4: Simplify right side
    23,972x = 442,133,114.47
  5. Step 5: Solve for x
    x = 442,133,114.47/23,972
  6. Step 6: Final answer
    x = 18,443.73

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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.