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Finding the Fourth Proportional to 16,215.83, 22,370.82 and 10,162.40

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Solution

The fourth proportional to 16,215.83, 22,370.82 and 10,162.40 is: 14,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.83 : 22,370.82 = 10,162.40 : x
  2. Step 2: Convert to fraction form
    16,215.83/22,370.82 = 10,162.40/x
  3. Step 3: Cross multiply
    16,215.83x = 22,370.82 × 10,162.40
  4. Step 4: Simplify right side
    16,215.83x = 227,341,071.20
  5. Step 5: Solve for x
    x = 227,341,071.20/16,215.83
  6. Step 6: Final answer
    x = 14,019.70

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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.