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Finding the Fourth Proportional to 20,538.80, 30,810.72 and 8,849.60

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Solution

The fourth proportional to 20,538.80, 30,810.72 and 8,849.60 is: 13,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.80 : 30,810.72 = 8,849.60 : x
  2. Step 2: Convert to fraction form
    20,538.80/30,810.72 = 8,849.60/x
  3. Step 3: Cross multiply
    20,538.80x = 30,810.72 × 8,849.60
  4. Step 4: Simplify right side
    20,538.80x = 272,662,547.71
  5. Step 5: Solve for x
    x = 272,662,547.71/20,538.80
  6. Step 6: Final answer
    x = 13,275.49

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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.