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Finding the Fourth Proportional to 14,885.04, 20,538 and 10,105.68

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Solution

The fourth proportional to 14,885.04, 20,538 and 10,105.68 is: 13,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,885.04 : 20,538 = 10,105.68 : x
  2. Step 2: Convert to fraction form
    14,885.04/20,538 = 10,105.68/x
  3. Step 3: Cross multiply
    14,885.04x = 20,538 × 10,105.68
  4. Step 4: Simplify right side
    14,885.04x = 207,550,455.84
  5. Step 5: Solve for x
    x = 207,550,455.84/14,885.04
  6. Step 6: Final answer
    x = 13,943.56

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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.