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Finding the Fourth Proportional to 20,547.88, 30,796.24 and 9,442.76

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Solution

The fourth proportional to 20,547.88, 30,796.24 and 9,442.76 is: 14,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547.88 : 30,796.24 = 9,442.76 : x
  2. Step 2: Convert to fraction form
    20,547.88/30,796.24 = 9,442.76/x
  3. Step 3: Cross multiply
    20,547.88x = 30,796.24 × 9,442.76
  4. Step 4: Simplify right side
    20,547.88x = 290,801,503.22
  5. Step 5: Solve for x
    x = 290,801,503.22/20,547.88
  6. Step 6: Final answer
    x = 14,152.38

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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.