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Finding the Fourth Proportional to 22,428.64, 33,652.80 and 9,284

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Solution

The fourth proportional to 22,428.64, 33,652.80 and 9,284 is: 13,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428.64 : 33,652.80 = 9,284 : x
  2. Step 2: Convert to fraction form
    22,428.64/33,652.80 = 9,284/x
  3. Step 3: Cross multiply
    22,428.64x = 33,652.80 × 9,284
  4. Step 4: Simplify right side
    22,428.64x = 312,432,595.20
  5. Step 5: Solve for x
    x = 312,432,595.20/22,428.64
  6. Step 6: Final answer
    x = 13,930.07

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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.