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Finding the Fourth Proportional to 16,920.24, 23,349.96 and 9,468.24

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Solution

The fourth proportional to 16,920.24, 23,349.96 and 9,468.24 is: 13,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,920.24 : 23,349.96 = 9,468.24 : x
  2. Step 2: Convert to fraction form
    16,920.24/23,349.96 = 9,468.24/x
  3. Step 3: Cross multiply
    16,920.24x = 23,349.96 × 9,468.24
  4. Step 4: Simplify right side
    16,920.24x = 221,083,025.27
  5. Step 5: Solve for x
    x = 221,083,025.27/16,920.24
  6. Step 6: Final answer
    x = 13,066.19

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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.