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Finding the Fourth Proportional to 13,166.84, 19,758.13 and 4,732.65

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Solution

The fourth proportional to 13,166.84, 19,758.13 and 4,732.65 is: 7,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.84 : 19,758.13 = 4,732.65 : x
  2. Step 2: Convert to fraction form
    13,166.84/19,758.13 = 4,732.65/x
  3. Step 3: Cross multiply
    13,166.84x = 19,758.13 × 4,732.65
  4. Step 4: Simplify right side
    13,166.84x = 93,508,302.11
  5. Step 5: Solve for x
    x = 93,508,302.11/13,166.84
  6. Step 6: Final answer
    x = 7,101.80

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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.