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Finding the Fourth Proportional to 23,089.86, 31,864.05 and 13,018.39

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Solution

The fourth proportional to 23,089.86, 31,864.05 and 13,018.39 is: 17,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,089.86 : 31,864.05 = 13,018.39 : x
  2. Step 2: Convert to fraction form
    23,089.86/31,864.05 = 13,018.39/x
  3. Step 3: Cross multiply
    23,089.86x = 31,864.05 × 13,018.39
  4. Step 4: Simplify right side
    23,089.86x = 414,818,550.22
  5. Step 5: Solve for x
    x = 414,818,550.22/23,089.86
  6. Step 6: Final answer
    x = 17,965.40

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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.