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Finding the Fourth Proportional to 16,245.22, 22,417.05 and 9,530.14

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Solution

The fourth proportional to 16,245.22, 22,417.05 and 9,530.14 is: 13,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.22 : 22,417.05 = 9,530.14 : x
  2. Step 2: Convert to fraction form
    16,245.22/22,417.05 = 9,530.14/x
  3. Step 3: Cross multiply
    16,245.22x = 22,417.05 × 9,530.14
  4. Step 4: Simplify right side
    16,245.22x = 213,637,624.89
  5. Step 5: Solve for x
    x = 213,637,624.89/16,245.22
  6. Step 6: Final answer
    x = 13,150.80

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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.