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Finding the Fourth Proportional to 23,153.53, 34,723.05 and 8,360.50

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Solution

The fourth proportional to 23,153.53, 34,723.05 and 8,360.50 is: 12,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.53 : 34,723.05 = 8,360.50 : x
  2. Step 2: Convert to fraction form
    23,153.53/34,723.05 = 8,360.50/x
  3. Step 3: Cross multiply
    23,153.53x = 34,723.05 × 8,360.50
  4. Step 4: Simplify right side
    23,153.53x = 290,302,059.53
  5. Step 5: Solve for x
    x = 290,302,059.53/23,153.53
  6. Step 6: Final answer
    x = 12,538.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.