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Finding the Fourth Proportional to 14,593.76, 21,910.92 and 10,140.94

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Solution

The fourth proportional to 14,593.76, 21,910.92 and 10,140.94 is: 15,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.76 : 21,910.92 = 10,140.94 : x
  2. Step 2: Convert to fraction form
    14,593.76/21,910.92 = 10,140.94/x
  3. Step 3: Cross multiply
    14,593.76x = 21,910.92 × 10,140.94
  4. Step 4: Simplify right side
    14,593.76x = 222,197,325.06
  5. Step 5: Solve for x
    x = 222,197,325.06/14,593.76
  6. Step 6: Final answer
    x = 15,225.50

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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.