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Finding the Fourth Proportional to 19,814.58, 27,344.10 and 10,862.16

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Solution

The fourth proportional to 19,814.58, 27,344.10 and 10,862.16 is: 14,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.58 : 27,344.10 = 10,862.16 : x
  2. Step 2: Convert to fraction form
    19,814.58/27,344.10 = 10,862.16/x
  3. Step 3: Cross multiply
    19,814.58x = 27,344.10 × 10,862.16
  4. Step 4: Simplify right side
    19,814.58x = 297,015,989.26
  5. Step 5: Solve for x
    x = 297,015,989.26/19,814.58
  6. Step 6: Final answer
    x = 14,989.77

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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.