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Finding the Fourth Proportional to 22,345.84, 30,835.84 and 12,274.24

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Solution

The fourth proportional to 22,345.84, 30,835.84 and 12,274.24 is: 16,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.84 : 30,835.84 = 12,274.24 : x
  2. Step 2: Convert to fraction form
    22,345.84/30,835.84 = 12,274.24/x
  3. Step 3: Cross multiply
    22,345.84x = 30,835.84 × 12,274.24
  4. Step 4: Simplify right side
    22,345.84x = 378,486,500.76
  5. Step 5: Solve for x
    x = 378,486,500.76/22,345.84
  6. Step 6: Final answer
    x = 16,937.67

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1.5x scale

Why These Related Problems?

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