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Finding the Fourth Proportional to 15,721.84, 21,702.63 and 9,433

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Solution

The fourth proportional to 15,721.84, 21,702.63 and 9,433 is: 13,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,721.84 : 21,702.63 = 9,433 : x
  2. Step 2: Convert to fraction form
    15,721.84/21,702.63 = 9,433/x
  3. Step 3: Cross multiply
    15,721.84x = 21,702.63 × 9,433
  4. Step 4: Simplify right side
    15,721.84x = 204,720,908.79
  5. Step 5: Solve for x
    x = 204,720,908.79/15,721.84
  6. Step 6: Final answer
    x = 13,021.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.