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Finding the Fourth Proportional to 23,153.64, 34,732.02 and 11,463.72

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Solution

The fourth proportional to 23,153.64, 34,732.02 and 11,463.72 is: 17,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.64 : 34,732.02 = 11,463.72 : x
  2. Step 2: Convert to fraction form
    23,153.64/34,732.02 = 11,463.72/x
  3. Step 3: Cross multiply
    23,153.64x = 34,732.02 × 11,463.72
  4. Step 4: Simplify right side
    23,153.64x = 398,158,152.31
  5. Step 5: Solve for x
    x = 398,158,152.31/23,153.64
  6. Step 6: Final answer
    x = 17,196.35

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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.