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Finding the Fourth Proportional to 14,230.95, 21,345.98 and 6,439.77

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Solution

The fourth proportional to 14,230.95, 21,345.98 and 6,439.77 is: 9,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.95 : 21,345.98 = 6,439.77 : x
  2. Step 2: Convert to fraction form
    14,230.95/21,345.98 = 6,439.77/x
  3. Step 3: Cross multiply
    14,230.95x = 21,345.98 × 6,439.77
  4. Step 4: Simplify right side
    14,230.95x = 137,463,169.43
  5. Step 5: Solve for x
    x = 137,463,169.43/14,230.95
  6. Step 6: Final answer
    x = 9,659.45

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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.