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Finding the Fourth Proportional to 22,823.60, 34,235.40 and 8,032.40

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Solution

The fourth proportional to 22,823.60, 34,235.40 and 8,032.40 is: 12,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.60 : 34,235.40 = 8,032.40 : x
  2. Step 2: Convert to fraction form
    22,823.60/34,235.40 = 8,032.40/x
  3. Step 3: Cross multiply
    22,823.60x = 34,235.40 × 8,032.40
  4. Step 4: Simplify right side
    22,823.60x = 274,992,426.96
  5. Step 5: Solve for x
    x = 274,992,426.96/22,823.60
  6. Step 6: Final answer
    x = 12,048.60

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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.