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Finding the Fourth Proportional to 22,035, 33,030.63 and 12,178.92

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Solution

The fourth proportional to 22,035, 33,030.63 and 12,178.92 is: 18,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035 : 33,030.63 = 12,178.92 : x
  2. Step 2: Convert to fraction form
    22,035/33,030.63 = 12,178.92/x
  3. Step 3: Cross multiply
    22,035x = 33,030.63 × 12,178.92
  4. Step 4: Simplify right side
    22,035x = 402,277,400.32
  5. Step 5: Solve for x
    x = 402,277,400.32/22,035
  6. Step 6: Final answer
    x = 18,256.29

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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.