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Finding the Fourth Proportional to 23,007.66, 34,518.78 and 7,426.50

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Solution

The fourth proportional to 23,007.66, 34,518.78 and 7,426.50 is: 11,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.66 : 34,518.78 = 7,426.50 : x
  2. Step 2: Convert to fraction form
    23,007.66/34,518.78 = 7,426.50/x
  3. Step 3: Cross multiply
    23,007.66x = 34,518.78 × 7,426.50
  4. Step 4: Simplify right side
    23,007.66x = 256,353,719.67
  5. Step 5: Solve for x
    x = 256,353,719.67/23,007.66
  6. Step 6: Final answer
    x = 11,142.10

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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.