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Finding the Fourth Proportional to 21,884.91, 32,831.21 and 9,061.93

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Solution

The fourth proportional to 21,884.91, 32,831.21 and 9,061.93 is: 13,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.91 : 32,831.21 = 9,061.93 : x
  2. Step 2: Convert to fraction form
    21,884.91/32,831.21 = 9,061.93/x
  3. Step 3: Cross multiply
    21,884.91x = 32,831.21 × 9,061.93
  4. Step 4: Simplify right side
    21,884.91x = 297,514,126.84
  5. Step 5: Solve for x
    x = 297,514,126.84/21,884.91
  6. Step 6: Final answer
    x = 13,594.49

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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.