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Finding the Fourth Proportional to 16,234.40, 22,416.72 and 10,275.68

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Solution

The fourth proportional to 16,234.40, 22,416.72 and 10,275.68 is: 14,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.40 : 22,416.72 = 10,275.68 : x
  2. Step 2: Convert to fraction form
    16,234.40/22,416.72 = 10,275.68/x
  3. Step 3: Cross multiply
    16,234.40x = 22,416.72 × 10,275.68
  4. Step 4: Simplify right side
    16,234.40x = 230,347,041.37
  5. Step 5: Solve for x
    x = 230,347,041.37/16,234.40
  6. Step 6: Final answer
    x = 14,188.82

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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.