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Finding the Fourth Proportional to 14,187.17, 19,578.13 and 7,813.62

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Solution

The fourth proportional to 14,187.17, 19,578.13 and 7,813.62 is: 10,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.17 : 19,578.13 = 7,813.62 : x
  2. Step 2: Convert to fraction form
    14,187.17/19,578.13 = 7,813.62/x
  3. Step 3: Cross multiply
    14,187.17x = 19,578.13 × 7,813.62
  4. Step 4: Simplify right side
    14,187.17x = 152,976,068.13
  5. Step 5: Solve for x
    x = 152,976,068.13/14,187.17
  6. Step 6: Final answer
    x = 10,782.70

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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.