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Finding the Fourth Proportional to 15,516.84, 21,409.51 and 9,143.69

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Solution

The fourth proportional to 15,516.84, 21,409.51 and 9,143.69 is: 12,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,516.84 : 21,409.51 = 9,143.69 : x
  2. Step 2: Convert to fraction form
    15,516.84/21,409.51 = 9,143.69/x
  3. Step 3: Cross multiply
    15,516.84x = 21,409.51 × 9,143.69
  4. Step 4: Simplify right side
    15,516.84x = 195,762,010.44
  5. Step 5: Solve for x
    x = 195,762,010.44/15,516.84
  6. Step 6: Final answer
    x = 12,616.10

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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.