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Finding the Fourth Proportional to 14,164.82, 19,547.39 and 7,877.19

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Solution

The fourth proportional to 14,164.82, 19,547.39 and 7,877.19 is: 10,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.82 : 19,547.39 = 7,877.19 : x
  2. Step 2: Convert to fraction form
    14,164.82/19,547.39 = 7,877.19/x
  3. Step 3: Cross multiply
    14,164.82x = 19,547.39 × 7,877.19
  4. Step 4: Simplify right side
    14,164.82x = 153,978,505.03
  5. Step 5: Solve for x
    x = 153,978,505.03/14,164.82
  6. Step 6: Final answer
    x = 10,870.49

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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.