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Finding the Fourth Proportional to 14,006.34, 21,009.73 and 4,146.62

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Solution

The fourth proportional to 14,006.34, 21,009.73 and 4,146.62 is: 6,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.34 : 21,009.73 = 4,146.62 : x
  2. Step 2: Convert to fraction form
    14,006.34/21,009.73 = 4,146.62/x
  3. Step 3: Cross multiply
    14,006.34x = 21,009.73 × 4,146.62
  4. Step 4: Simplify right side
    14,006.34x = 87,119,251.20
  5. Step 5: Solve for x
    x = 87,119,251.20/14,006.34
  6. Step 6: Final answer
    x = 6,219.99

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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.