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Finding the Fourth Proportional to 17,089.60, 23,585.48 and 10,021.96

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Solution

The fourth proportional to 17,089.60, 23,585.48 and 10,021.96 is: 13,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.60 : 23,585.48 = 10,021.96 : x
  2. Step 2: Convert to fraction form
    17,089.60/23,585.48 = 10,021.96/x
  3. Step 3: Cross multiply
    17,089.60x = 23,585.48 × 10,021.96
  4. Step 4: Simplify right side
    17,089.60x = 236,372,737.14
  5. Step 5: Solve for x
    x = 236,372,737.14/17,089.60
  6. Step 6: Final answer
    x = 13,831.38

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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.