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Finding the Fourth Proportional to 23,165.63, 34,766.90 and 9,129.20

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Solution

The fourth proportional to 23,165.63, 34,766.90 and 9,129.20 is: 13,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165.63 : 34,766.90 = 9,129.20 : x
  2. Step 2: Convert to fraction form
    23,165.63/34,766.90 = 9,129.20/x
  3. Step 3: Cross multiply
    23,165.63x = 34,766.90 × 9,129.20
  4. Step 4: Simplify right side
    23,165.63x = 317,393,798.23
  5. Step 5: Solve for x
    x = 317,393,798.23/23,165.63
  6. Step 6: Final answer
    x = 13,701.07

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1.5x scale

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.