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Finding the Fourth Proportional to 22,368, 33,555.36 and 6,785.28

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Solution

The fourth proportional to 22,368, 33,555.36 and 6,785.28 is: 10,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,368 : 33,555.36 = 6,785.28 : x
  2. Step 2: Convert to fraction form
    22,368/33,555.36 = 6,785.28/x
  3. Step 3: Cross multiply
    22,368x = 33,555.36 × 6,785.28
  4. Step 4: Simplify right side
    22,368x = 227,682,513.10
  5. Step 5: Solve for x
    x = 227,682,513.10/22,368
  6. Step 6: Final answer
    x = 10,178.94

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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.