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Finding the Fourth Proportional to 22,637.61, 31,238.43 and 12,566.07

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Solution

The fourth proportional to 22,637.61, 31,238.43 and 12,566.07 is: 17,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,637.61 : 31,238.43 = 12,566.07 : x
  2. Step 2: Convert to fraction form
    22,637.61/31,238.43 = 12,566.07/x
  3. Step 3: Cross multiply
    22,637.61x = 31,238.43 × 12,566.07
  4. Step 4: Simplify right side
    22,637.61x = 392,544,250.95
  5. Step 5: Solve for x
    x = 392,544,250.95/22,637.61
  6. Step 6: Final answer
    x = 17,340.36

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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.