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Finding the Fourth Proportional to 15,899.97, 23,838.43 and 9,324.93

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Solution

The fourth proportional to 15,899.97, 23,838.43 and 9,324.93 is: 13,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.97 : 23,838.43 = 9,324.93 : x
  2. Step 2: Convert to fraction form
    15,899.97/23,838.43 = 9,324.93/x
  3. Step 3: Cross multiply
    15,899.97x = 23,838.43 × 9,324.93
  4. Step 4: Simplify right side
    15,899.97x = 222,291,691.06
  5. Step 5: Solve for x
    x = 222,291,691.06/15,899.97
  6. Step 6: Final answer
    x = 13,980.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.