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Finding the Fourth Proportional to 13,648.69, 18,836.28 and 7,679.98

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Solution

The fourth proportional to 13,648.69, 18,836.28 and 7,679.98 is: 10,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.69 : 18,836.28 = 7,679.98 : x
  2. Step 2: Convert to fraction form
    13,648.69/18,836.28 = 7,679.98/x
  3. Step 3: Cross multiply
    13,648.69x = 18,836.28 × 7,679.98
  4. Step 4: Simplify right side
    13,648.69x = 144,662,253.67
  5. Step 5: Solve for x
    x = 144,662,253.67/13,648.69
  6. Step 6: Final answer
    x = 10,598.98

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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.