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Finding the Fourth Proportional to 14,288.58, 21,432.87 and 6,499.62

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Solution

The fourth proportional to 14,288.58, 21,432.87 and 6,499.62 is: 9,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.58 : 21,432.87 = 6,499.62 : x
  2. Step 2: Convert to fraction form
    14,288.58/21,432.87 = 6,499.62/x
  3. Step 3: Cross multiply
    14,288.58x = 21,432.87 × 6,499.62
  4. Step 4: Simplify right side
    14,288.58x = 139,305,510.51
  5. Step 5: Solve for x
    x = 139,305,510.51/14,288.58
  6. Step 6: Final answer
    x = 9,749.43

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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.