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Finding the Fourth Proportional to 16,684.65, 23,024.62 and 9,130.91

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Solution

The fourth proportional to 16,684.65, 23,024.62 and 9,130.91 is: 12,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.65 : 23,024.62 = 9,130.91 : x
  2. Step 2: Convert to fraction form
    16,684.65/23,024.62 = 9,130.91/x
  3. Step 3: Cross multiply
    16,684.65x = 23,024.62 × 9,130.91
  4. Step 4: Simplify right side
    16,684.65x = 210,235,595.05
  5. Step 5: Solve for x
    x = 210,235,595.05/16,684.65
  6. Step 6: Final answer
    x = 12,600.54

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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.