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Finding the Fourth Proportional to 14,971.42, 20,658.72 and 9,002.80

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Solution

The fourth proportional to 14,971.42, 20,658.72 and 9,002.80 is: 12,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.42 : 20,658.72 = 9,002.80 : x
  2. Step 2: Convert to fraction form
    14,971.42/20,658.72 = 9,002.80/x
  3. Step 3: Cross multiply
    14,971.42x = 20,658.72 × 9,002.80
  4. Step 4: Simplify right side
    14,971.42x = 185,986,324.42
  5. Step 5: Solve for x
    x = 185,986,324.42/14,971.42
  6. Step 6: Final answer
    x = 12,422.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.