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Finding the Fourth Proportional to 20,280.85, 30,421.27 and 7,130.16

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Solution

The fourth proportional to 20,280.85, 30,421.27 and 7,130.16 is: 10,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,280.85 : 30,421.27 = 7,130.16 : x
  2. Step 2: Convert to fraction form
    20,280.85/30,421.27 = 7,130.16/x
  3. Step 3: Cross multiply
    20,280.85x = 30,421.27 × 7,130.16
  4. Step 4: Simplify right side
    20,280.85x = 216,908,531.42
  5. Step 5: Solve for x
    x = 216,908,531.42/20,280.85
  6. Step 6: Final answer
    x = 10,695.24

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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.