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Finding the Fourth Proportional to 20,264.90, 30,386.55 and 8,564.90

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Solution

The fourth proportional to 20,264.90, 30,386.55 and 8,564.90 is: 12,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.90 : 30,386.55 = 8,564.90 : x
  2. Step 2: Convert to fraction form
    20,264.90/30,386.55 = 8,564.90/x
  3. Step 3: Cross multiply
    20,264.90x = 30,386.55 × 8,564.90
  4. Step 4: Simplify right side
    20,264.90x = 260,257,762.10
  5. Step 5: Solve for x
    x = 260,257,762.10/20,264.90
  6. Step 6: Final answer
    x = 12,842.79

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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.