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Finding the Fourth Proportional to 14,356.80, 19,813.50 and 7,983.72

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Solution

The fourth proportional to 14,356.80, 19,813.50 and 7,983.72 is: 11,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.80 : 19,813.50 = 7,983.72 : x
  2. Step 2: Convert to fraction form
    14,356.80/19,813.50 = 7,983.72/x
  3. Step 3: Cross multiply
    14,356.80x = 19,813.50 × 7,983.72
  4. Step 4: Simplify right side
    14,356.80x = 158,185,436.22
  5. Step 5: Solve for x
    x = 158,185,436.22/14,356.80
  6. Step 6: Final answer
    x = 11,018.15

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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.