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Finding the Fourth Proportional to 12,423.04, 17,143.76 and 6,834

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Solution

The fourth proportional to 12,423.04, 17,143.76 and 6,834 is: 9,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.04 : 17,143.76 = 6,834 : x
  2. Step 2: Convert to fraction form
    12,423.04/17,143.76 = 6,834/x
  3. Step 3: Cross multiply
    12,423.04x = 17,143.76 × 6,834
  4. Step 4: Simplify right side
    12,423.04x = 117,160,455.84
  5. Step 5: Solve for x
    x = 117,160,455.84/12,423.04
  6. Step 6: Final answer
    x = 9,430.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.