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Finding the Fourth Proportional to 22,925.79, 31,643.21 and 13,978.22

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Solution

The fourth proportional to 22,925.79, 31,643.21 and 13,978.22 is: 19,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,925.79 : 31,643.21 = 13,978.22 : x
  2. Step 2: Convert to fraction form
    22,925.79/31,643.21 = 13,978.22/x
  3. Step 3: Cross multiply
    22,925.79x = 31,643.21 × 13,978.22
  4. Step 4: Simplify right side
    22,925.79x = 442,315,864.94
  5. Step 5: Solve for x
    x = 442,315,864.94/22,925.79
  6. Step 6: Final answer
    x = 19,293.38

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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.