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Finding the Fourth Proportional to 14,267.83, 19,689.24 and 7,894.66

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Solution

The fourth proportional to 14,267.83, 19,689.24 and 7,894.66 is: 10,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267.83 : 19,689.24 = 7,894.66 : x
  2. Step 2: Convert to fraction form
    14,267.83/19,689.24 = 7,894.66/x
  3. Step 3: Cross multiply
    14,267.83x = 19,689.24 × 7,894.66
  4. Step 4: Simplify right side
    14,267.83x = 155,439,855.46
  5. Step 5: Solve for x
    x = 155,439,855.46/14,267.83
  6. Step 6: Final answer
    x = 10,894.43

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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.