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Finding the Fourth Proportional to 15,684.34, 23,522.19 and 11,264.98

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Solution

The fourth proportional to 15,684.34, 23,522.19 and 11,264.98 is: 16,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.34 : 23,522.19 = 11,264.98 : x
  2. Step 2: Convert to fraction form
    15,684.34/23,522.19 = 11,264.98/x
  3. Step 3: Cross multiply
    15,684.34x = 23,522.19 × 11,264.98
  4. Step 4: Simplify right side
    15,684.34x = 264,976,999.91
  5. Step 5: Solve for x
    x = 264,976,999.91/15,684.34
  6. Step 6: Final answer
    x = 16,894.37

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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.