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Finding the Fourth Proportional to 14,448.68, 19,926.70 and 9,411

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Solution

The fourth proportional to 14,448.68, 19,926.70 and 9,411 is: 12,979.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448.68 : 19,926.70 = 9,411 : x
  2. Step 2: Convert to fraction form
    14,448.68/19,926.70 = 9,411/x
  3. Step 3: Cross multiply
    14,448.68x = 19,926.70 × 9,411
  4. Step 4: Simplify right side
    14,448.68x = 187,530,173.70
  5. Step 5: Solve for x
    x = 187,530,173.70/14,448.68
  6. Step 6: Final answer
    x = 12,979.05

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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.