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Finding the Fourth Proportional to 10,519.47, 14,499.81 and 9,928.98

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Solution

The fourth proportional to 10,519.47, 14,499.81 and 9,928.98 is: 13,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.47 : 14,499.81 = 9,928.98 : x
  2. Step 2: Convert to fraction form
    10,519.47/14,499.81 = 9,928.98/x
  3. Step 3: Cross multiply
    10,519.47x = 14,499.81 × 9,928.98
  4. Step 4: Simplify right side
    10,519.47x = 143,968,323.49
  5. Step 5: Solve for x
    x = 143,968,323.49/10,519.47
  6. Step 6: Final answer
    x = 13,685.89

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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.