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Finding the Fourth Proportional to 20,420.52, 30,567.12 and 15,728.40

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Solution

The fourth proportional to 20,420.52, 30,567.12 and 15,728.40 is: 23,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420.52 : 30,567.12 = 15,728.40 : x
  2. Step 2: Convert to fraction form
    20,420.52/30,567.12 = 15,728.40/x
  3. Step 3: Cross multiply
    20,420.52x = 30,567.12 × 15,728.40
  4. Step 4: Simplify right side
    20,420.52x = 480,771,890.21
  5. Step 5: Solve for x
    x = 480,771,890.21/20,420.52
  6. Step 6: Final answer
    x = 23,543.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.