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Finding the Fourth Proportional to 14,146.65, 19,522.89 and 9,553.68

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Solution

The fourth proportional to 14,146.65, 19,522.89 and 9,553.68 is: 13,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.65 : 19,522.89 = 9,553.68 : x
  2. Step 2: Convert to fraction form
    14,146.65/19,522.89 = 9,553.68/x
  3. Step 3: Cross multiply
    14,146.65x = 19,522.89 × 9,553.68
  4. Step 4: Simplify right side
    14,146.65x = 186,515,443.74
  5. Step 5: Solve for x
    x = 186,515,443.74/14,146.65
  6. Step 6: Final answer
    x = 13,184.42

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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.