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Finding the Fourth Proportional to 23,143.12, 34,715.89 and 7,349.41

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Solution

The fourth proportional to 23,143.12, 34,715.89 and 7,349.41 is: 11,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.12 : 34,715.89 = 7,349.41 : x
  2. Step 2: Convert to fraction form
    23,143.12/34,715.89 = 7,349.41/x
  3. Step 3: Cross multiply
    23,143.12x = 34,715.89 × 7,349.41
  4. Step 4: Simplify right side
    23,143.12x = 255,141,117.17
  5. Step 5: Solve for x
    x = 255,141,117.17/23,143.12
  6. Step 6: Final answer
    x = 11,024.49

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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.