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Finding the Fourth Proportional to 14,233.14, 19,641.42 and 7,859.34

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Solution

The fourth proportional to 14,233.14, 19,641.42 and 7,859.34 is: 10,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.14 : 19,641.42 = 7,859.34 : x
  2. Step 2: Convert to fraction form
    14,233.14/19,641.42 = 7,859.34/x
  3. Step 3: Cross multiply
    14,233.14x = 19,641.42 × 7,859.34
  4. Step 4: Simplify right side
    14,233.14x = 154,368,597.86
  5. Step 5: Solve for x
    x = 154,368,597.86/14,233.14
  6. Step 6: Final answer
    x = 10,845.72

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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.