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Finding the Fourth Proportional to 19,857.16, 29,776.99 and 9,330.17

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Solution

The fourth proportional to 19,857.16, 29,776.99 and 9,330.17 is: 13,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.16 : 29,776.99 = 9,330.17 : x
  2. Step 2: Convert to fraction form
    19,857.16/29,776.99 = 9,330.17/x
  3. Step 3: Cross multiply
    19,857.16x = 29,776.99 × 9,330.17
  4. Step 4: Simplify right side
    19,857.16x = 277,824,429.91
  5. Step 5: Solve for x
    x = 277,824,429.91/19,857.16
  6. Step 6: Final answer
    x = 13,991.15

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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.