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Finding the Fourth Proportional to 14,238, 21,355.92 and 6,444.72

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Solution

The fourth proportional to 14,238, 21,355.92 and 6,444.72 is: 9,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238 : 21,355.92 = 6,444.72 : x
  2. Step 2: Convert to fraction form
    14,238/21,355.92 = 6,444.72/x
  3. Step 3: Cross multiply
    14,238x = 21,355.92 × 6,444.72
  4. Step 4: Simplify right side
    14,238x = 137,632,924.74
  5. Step 5: Solve for x
    x = 137,632,924.74/14,238
  6. Step 6: Final answer
    x = 9,666.59

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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.