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Finding the Fourth Proportional to 14,443.11, 21,665.34 and 7,046.46

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Solution

The fourth proportional to 14,443.11, 21,665.34 and 7,046.46 is: 10,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.11 : 21,665.34 = 7,046.46 : x
  2. Step 2: Convert to fraction form
    14,443.11/21,665.34 = 7,046.46/x
  3. Step 3: Cross multiply
    14,443.11x = 21,665.34 × 7,046.46
  4. Step 4: Simplify right side
    14,443.11x = 152,663,951.70
  5. Step 5: Solve for x
    x = 152,663,951.70/14,443.11
  6. Step 6: Final answer
    x = 10,570.02

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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.