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Finding the Fourth Proportional to 13,180.66, 19,771.13 and 4,415.65

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Solution

The fourth proportional to 13,180.66, 19,771.13 and 4,415.65 is: 6,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.66 : 19,771.13 = 4,415.65 : x
  2. Step 2: Convert to fraction form
    13,180.66/19,771.13 = 4,415.65/x
  3. Step 3: Cross multiply
    13,180.66x = 19,771.13 × 4,415.65
  4. Step 4: Simplify right side
    13,180.66x = 87,302,390.18
  5. Step 5: Solve for x
    x = 87,302,390.18/13,180.66
  6. Step 6: Final answer
    x = 6,623.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.