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Finding the Fourth Proportional to 14,498.72, 21,747.76 and 4,637.96

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Solution

The fourth proportional to 14,498.72, 21,747.76 and 4,637.96 is: 6,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,498.72 : 21,747.76 = 4,637.96 : x
  2. Step 2: Convert to fraction form
    14,498.72/21,747.76 = 4,637.96/x
  3. Step 3: Cross multiply
    14,498.72x = 21,747.76 × 4,637.96
  4. Step 4: Simplify right side
    14,498.72x = 100,865,217.78
  5. Step 5: Solve for x
    x = 100,865,217.78/14,498.72
  6. Step 6: Final answer
    x = 6,956.84

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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.