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Finding the Fourth Proportional to 14,637.70, 21,913.41 and 9,073.14

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Solution

The fourth proportional to 14,637.70, 21,913.41 and 9,073.14 is: 13,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,637.70 : 21,913.41 = 9,073.14 : x
  2. Step 2: Convert to fraction form
    14,637.70/21,913.41 = 9,073.14/x
  3. Step 3: Cross multiply
    14,637.70x = 21,913.41 × 9,073.14
  4. Step 4: Simplify right side
    14,637.70x = 198,823,436.81
  5. Step 5: Solve for x
    x = 198,823,436.81/14,637.70
  6. Step 6: Final answer
    x = 13,582.97

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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.