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Finding the Fourth Proportional to 13,917.68, 19,204.31 and 7,948.08

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Solution

The fourth proportional to 13,917.68, 19,204.31 and 7,948.08 is: 10,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.68 : 19,204.31 = 7,948.08 : x
  2. Step 2: Convert to fraction form
    13,917.68/19,204.31 = 7,948.08/x
  3. Step 3: Cross multiply
    13,917.68x = 19,204.31 × 7,948.08
  4. Step 4: Simplify right side
    13,917.68x = 152,637,412.10
  5. Step 5: Solve for x
    x = 152,637,412.10/13,917.68
  6. Step 6: Final answer
    x = 10,967.16

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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.