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Finding the Fourth Proportional to 14,420, 19,899.62 and 7,796

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Solution

The fourth proportional to 14,420, 19,899.62 and 7,796 is: 10,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420 : 19,899.62 = 7,796 : x
  2. Step 2: Convert to fraction form
    14,420/19,899.62 = 7,796/x
  3. Step 3: Cross multiply
    14,420x = 19,899.62 × 7,796
  4. Step 4: Simplify right side
    14,420x = 155,137,437.52
  5. Step 5: Solve for x
    x = 155,137,437.52/14,420
  6. Step 6: Final answer
    x = 10,758.49

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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.