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Finding the Fourth Proportional to 14,911.70, 22,331.10 and 7,111.40

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Solution

The fourth proportional to 14,911.70, 22,331.10 and 7,111.40 is: 10,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.70 : 22,331.10 = 7,111.40 : x
  2. Step 2: Convert to fraction form
    14,911.70/22,331.10 = 7,111.40/x
  3. Step 3: Cross multiply
    14,911.70x = 22,331.10 × 7,111.40
  4. Step 4: Simplify right side
    14,911.70x = 158,805,384.54
  5. Step 5: Solve for x
    x = 158,805,384.54/14,911.70
  6. Step 6: Final answer
    x = 10,649.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.