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Finding the Fourth Proportional to 13,156.16, 19,717.22 and 9,843.26

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Solution

The fourth proportional to 13,156.16, 19,717.22 and 9,843.26 is: 14,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.16 : 19,717.22 = 9,843.26 : x
  2. Step 2: Convert to fraction form
    13,156.16/19,717.22 = 9,843.26/x
  3. Step 3: Cross multiply
    13,156.16x = 19,717.22 × 9,843.26
  4. Step 4: Simplify right side
    13,156.16x = 194,081,648.96
  5. Step 5: Solve for x
    x = 194,081,648.96/13,156.16
  6. Step 6: Final answer
    x = 14,752.16

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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.