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Finding the Fourth Proportional to 16,587.10, 22,889.43 and 9,033.40

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Solution

The fourth proportional to 16,587.10, 22,889.43 and 9,033.40 is: 12,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587.10 : 22,889.43 = 9,033.40 : x
  2. Step 2: Convert to fraction form
    16,587.10/22,889.43 = 9,033.40/x
  3. Step 3: Cross multiply
    16,587.10x = 22,889.43 × 9,033.40
  4. Step 4: Simplify right side
    16,587.10x = 206,769,376.96
  5. Step 5: Solve for x
    x = 206,769,376.96/16,587.10
  6. Step 6: Final answer
    x = 12,465.67

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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.