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Finding the Fourth Proportional to 21,159.29, 31,721.60 and 10,616.58

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Solution

The fourth proportional to 21,159.29, 31,721.60 and 10,616.58 is: 15,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.29 : 31,721.60 = 10,616.58 : x
  2. Step 2: Convert to fraction form
    21,159.29/31,721.60 = 10,616.58/x
  3. Step 3: Cross multiply
    21,159.29x = 31,721.60 × 10,616.58
  4. Step 4: Simplify right side
    21,159.29x = 336,774,930.67
  5. Step 5: Solve for x
    x = 336,774,930.67/21,159.29
  6. Step 6: Final answer
    x = 15,916.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.