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Finding the Fourth Proportional to 16,594.14, 22,899.74 and 9,521.67

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Solution

The fourth proportional to 16,594.14, 22,899.74 and 9,521.67 is: 13,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.14 : 22,899.74 = 9,521.67 : x
  2. Step 2: Convert to fraction form
    16,594.14/22,899.74 = 9,521.67/x
  3. Step 3: Cross multiply
    16,594.14x = 22,899.74 × 9,521.67
  4. Step 4: Simplify right side
    16,594.14x = 218,043,719.76
  5. Step 5: Solve for x
    x = 218,043,719.76/16,594.14
  6. Step 6: Final answer
    x = 13,139.80

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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.