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Finding the Fourth Proportional to 27,762.96, 41,658.12 and 12,972.90

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Solution

The fourth proportional to 27,762.96, 41,658.12 and 12,972.90 is: 19,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.96 : 41,658.12 = 12,972.90 : x
  2. Step 2: Convert to fraction form
    27,762.96/41,658.12 = 12,972.90/x
  3. Step 3: Cross multiply
    27,762.96x = 41,658.12 × 12,972.90
  4. Step 4: Simplify right side
    27,762.96x = 540,426,624.95
  5. Step 5: Solve for x
    x = 540,426,624.95/27,762.96
  6. Step 6: Final answer
    x = 19,465.74

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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.