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Finding the Fourth Proportional to 22,894.31, 31,597.95 and 15,718.35

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Solution

The fourth proportional to 22,894.31, 31,597.95 and 15,718.35 is: 21,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.31 : 31,597.95 = 15,718.35 : x
  2. Step 2: Convert to fraction form
    22,894.31/31,597.95 = 15,718.35/x
  3. Step 3: Cross multiply
    22,894.31x = 31,597.95 × 15,718.35
  4. Step 4: Simplify right side
    22,894.31x = 496,667,637.38
  5. Step 5: Solve for x
    x = 496,667,637.38/22,894.31
  6. Step 6: Final answer
    x = 21,693.93

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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.