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Finding the Fourth Proportional to 13,098.84, 19,648.47 and 7,292.36

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Solution

The fourth proportional to 13,098.84, 19,648.47 and 7,292.36 is: 10,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.84 : 19,648.47 = 7,292.36 : x
  2. Step 2: Convert to fraction form
    13,098.84/19,648.47 = 7,292.36/x
  3. Step 3: Cross multiply
    13,098.84x = 19,648.47 × 7,292.36
  4. Step 4: Simplify right side
    13,098.84x = 143,283,716.69
  5. Step 5: Solve for x
    x = 143,283,716.69/13,098.84
  6. Step 6: Final answer
    x = 10,938.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.