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Finding the Fourth Proportional to 22,894.47, 34,313.97 and 9,719.17

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Solution

The fourth proportional to 22,894.47, 34,313.97 and 9,719.17 is: 14,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.47 : 34,313.97 = 9,719.17 : x
  2. Step 2: Convert to fraction form
    22,894.47/34,313.97 = 9,719.17/x
  3. Step 3: Cross multiply
    22,894.47x = 34,313.97 × 9,719.17
  4. Step 4: Simplify right side
    22,894.47x = 333,503,307.80
  5. Step 5: Solve for x
    x = 333,503,307.80/22,894.47
  6. Step 6: Final answer
    x = 14,566.98

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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.