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Finding the Fourth Proportional to 23,068.50, 34,617.47 and 8,277.09

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Solution

The fourth proportional to 23,068.50, 34,617.47 and 8,277.09 is: 12,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,068.50 : 34,617.47 = 8,277.09 : x
  2. Step 2: Convert to fraction form
    23,068.50/34,617.47 = 8,277.09/x
  3. Step 3: Cross multiply
    23,068.50x = 34,617.47 × 8,277.09
  4. Step 4: Simplify right side
    23,068.50x = 286,531,894.07
  5. Step 5: Solve for x
    x = 286,531,894.07/23,068.50
  6. Step 6: Final answer
    x = 12,420.92

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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.