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Finding the Fourth Proportional to 14,686.14, 22,029.24 and 10,323.12

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Solution

The fourth proportional to 14,686.14, 22,029.24 and 10,323.12 is: 15,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.14 : 22,029.24 = 10,323.12 : x
  2. Step 2: Convert to fraction form
    14,686.14/22,029.24 = 10,323.12/x
  3. Step 3: Cross multiply
    14,686.14x = 22,029.24 × 10,323.12
  4. Step 4: Simplify right side
    14,686.14x = 227,410,488.03
  5. Step 5: Solve for x
    x = 227,410,488.03/14,686.14
  6. Step 6: Final answer
    x = 15,484.70

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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.