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Finding the Fourth Proportional to 22,307.84, 30,785.22 and 12,235.67

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Solution

The fourth proportional to 22,307.84, 30,785.22 and 12,235.67 is: 16,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.84 : 30,785.22 = 12,235.67 : x
  2. Step 2: Convert to fraction form
    22,307.84/30,785.22 = 12,235.67/x
  3. Step 3: Cross multiply
    22,307.84x = 30,785.22 × 12,235.67
  4. Step 4: Simplify right side
    22,307.84x = 376,677,792.80
  5. Step 5: Solve for x
    x = 376,677,792.80/22,307.84
  6. Step 6: Final answer
    x = 16,885.44

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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.