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Finding the Fourth Proportional to 13,205.72, 18,223.74 and 7,155.84

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Solution

The fourth proportional to 13,205.72, 18,223.74 and 7,155.84 is: 9,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.72 : 18,223.74 = 7,155.84 : x
  2. Step 2: Convert to fraction form
    13,205.72/18,223.74 = 7,155.84/x
  3. Step 3: Cross multiply
    13,205.72x = 18,223.74 × 7,155.84
  4. Step 4: Simplify right side
    13,205.72x = 130,406,167.64
  5. Step 5: Solve for x
    x = 130,406,167.64/13,205.72
  6. Step 6: Final answer
    x = 9,874.98

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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.