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Finding the Fourth Proportional to 16,030.22, 22,122.55 and 9,658.81

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Solution

The fourth proportional to 16,030.22, 22,122.55 and 9,658.81 is: 13,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030.22 : 22,122.55 = 9,658.81 : x
  2. Step 2: Convert to fraction form
    16,030.22/22,122.55 = 9,658.81/x
  3. Step 3: Cross multiply
    16,030.22x = 22,122.55 × 9,658.81
  4. Step 4: Simplify right side
    16,030.22x = 213,677,507.17
  5. Step 5: Solve for x
    x = 213,677,507.17/16,030.22
  6. Step 6: Final answer
    x = 13,329.67

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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.