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Finding the Fourth Proportional to 16,586.10, 22,888.05 and 9,032.40

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Solution

The fourth proportional to 16,586.10, 22,888.05 and 9,032.40 is: 12,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.10 : 22,888.05 = 9,032.40 : x
  2. Step 2: Convert to fraction form
    16,586.10/22,888.05 = 9,032.40/x
  3. Step 3: Cross multiply
    16,586.10x = 22,888.05 × 9,032.40
  4. Step 4: Simplify right side
    16,586.10x = 206,734,022.82
  5. Step 5: Solve for x
    x = 206,734,022.82/16,586.10
  6. Step 6: Final answer
    x = 12,464.29

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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.