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Finding the Fourth Proportional to 15,738.84, 21,718.08 and 9,023.04

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Solution

The fourth proportional to 15,738.84, 21,718.08 and 9,023.04 is: 12,450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738.84 : 21,718.08 = 9,023.04 : x
  2. Step 2: Convert to fraction form
    15,738.84/21,718.08 = 9,023.04/x
  3. Step 3: Cross multiply
    15,738.84x = 21,718.08 × 9,023.04
  4. Step 4: Simplify right side
    15,738.84x = 195,963,104.56
  5. Step 5: Solve for x
    x = 195,963,104.56/15,738.84
  6. Step 6: Final answer
    x = 12,450.92

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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.