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Finding the Fourth Proportional to 15,513.84, 21,409.13 and 8,440.29

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Solution

The fourth proportional to 15,513.84, 21,409.13 and 8,440.29 is: 11,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.84 : 21,409.13 = 8,440.29 : x
  2. Step 2: Convert to fraction form
    15,513.84/21,409.13 = 8,440.29/x
  3. Step 3: Cross multiply
    15,513.84x = 21,409.13 × 8,440.29
  4. Step 4: Simplify right side
    15,513.84x = 180,699,223.65
  5. Step 5: Solve for x
    x = 180,699,223.65/15,513.84
  6. Step 6: Final answer
    x = 11,647.61

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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.