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Finding the Fourth Proportional to 23,024.98, 34,463.19 and 11,916.40

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Solution

The fourth proportional to 23,024.98, 34,463.19 and 11,916.40 is: 17,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.98 : 34,463.19 = 11,916.40 : x
  2. Step 2: Convert to fraction form
    23,024.98/34,463.19 = 11,916.40/x
  3. Step 3: Cross multiply
    23,024.98x = 34,463.19 × 11,916.40
  4. Step 4: Simplify right side
    23,024.98x = 410,677,157.32
  5. Step 5: Solve for x
    x = 410,677,157.32/23,024.98
  6. Step 6: Final answer
    x = 17,836.16

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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.