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Finding the Fourth Proportional to 16,570.81, 22,867.76 and 9,017.14

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Solution

The fourth proportional to 16,570.81, 22,867.76 and 9,017.14 is: 12,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.81 : 22,867.76 = 9,017.14 : x
  2. Step 2: Convert to fraction form
    16,570.81/22,867.76 = 9,017.14/x
  3. Step 3: Cross multiply
    16,570.81x = 22,867.76 × 9,017.14
  4. Step 4: Simplify right side
    16,570.81x = 206,201,736.24
  5. Step 5: Solve for x
    x = 206,201,736.24/16,570.81
  6. Step 6: Final answer
    x = 12,443.67

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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.