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Finding the Fourth Proportional to 13,948.84, 19,249.41 and 7,575.31

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Solution

The fourth proportional to 13,948.84, 19,249.41 and 7,575.31 is: 10,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.84 : 19,249.41 = 7,575.31 : x
  2. Step 2: Convert to fraction form
    13,948.84/19,249.41 = 7,575.31/x
  3. Step 3: Cross multiply
    13,948.84x = 19,249.41 × 7,575.31
  4. Step 4: Simplify right side
    13,948.84x = 145,820,248.07
  5. Step 5: Solve for x
    x = 145,820,248.07/13,948.84
  6. Step 6: Final answer
    x = 10,453.93

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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.