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Finding the Fourth Proportional to 16,162.23, 22,258.47 and 13,341

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Solution

The fourth proportional to 16,162.23, 22,258.47 and 13,341 is: 18,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.23 : 22,258.47 = 13,341 : x
  2. Step 2: Convert to fraction form
    16,162.23/22,258.47 = 13,341/x
  3. Step 3: Cross multiply
    16,162.23x = 22,258.47 × 13,341
  4. Step 4: Simplify right side
    16,162.23x = 296,950,248.27
  5. Step 5: Solve for x
    x = 296,950,248.27/16,162.23
  6. Step 6: Final answer
    x = 18,373.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.