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Finding the Fourth Proportional to 14,031, 19,344.94 and 9,934.02

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Solution

The fourth proportional to 14,031, 19,344.94 and 9,934.02 is: 13,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031 : 19,344.94 = 9,934.02 : x
  2. Step 2: Convert to fraction form
    14,031/19,344.94 = 9,934.02/x
  3. Step 3: Cross multiply
    14,031x = 19,344.94 × 9,934.02
  4. Step 4: Simplify right side
    14,031x = 192,173,020.86
  5. Step 5: Solve for x
    x = 192,173,020.86/14,031
  6. Step 6: Final answer
    x = 13,696.32

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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.