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Finding the Fourth Proportional to 14,004.69, 21,009.12 and 5,120.47

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Solution

The fourth proportional to 14,004.69, 21,009.12 and 5,120.47 is: 7,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.69 : 21,009.12 = 5,120.47 : x
  2. Step 2: Convert to fraction form
    14,004.69/21,009.12 = 5,120.47/x
  3. Step 3: Cross multiply
    14,004.69x = 21,009.12 × 5,120.47
  4. Step 4: Simplify right side
    14,004.69x = 107,576,568.69
  5. Step 5: Solve for x
    x = 107,576,568.69/14,004.69
  6. Step 6: Final answer
    x = 7,681.47

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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.