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Finding the Fourth Proportional to 16,277.98, 22,462.55 and 9,106.67

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Solution

The fourth proportional to 16,277.98, 22,462.55 and 9,106.67 is: 12,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.98 : 22,462.55 = 9,106.67 : x
  2. Step 2: Convert to fraction form
    16,277.98/22,462.55 = 9,106.67/x
  3. Step 3: Cross multiply
    16,277.98x = 22,462.55 × 9,106.67
  4. Step 4: Simplify right side
    16,277.98x = 204,559,030.21
  5. Step 5: Solve for x
    x = 204,559,030.21/16,277.98
  6. Step 6: Final answer
    x = 12,566.61

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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.