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Finding the Fourth Proportional to 13,004.54, 19,497.97 and 5,102.10

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Solution

The fourth proportional to 13,004.54, 19,497.97 and 5,102.10 is: 7,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.54 : 19,497.97 = 5,102.10 : x
  2. Step 2: Convert to fraction form
    13,004.54/19,497.97 = 5,102.10/x
  3. Step 3: Cross multiply
    13,004.54x = 19,497.97 × 5,102.10
  4. Step 4: Simplify right side
    13,004.54x = 99,480,592.74
  5. Step 5: Solve for x
    x = 99,480,592.74/13,004.54
  6. Step 6: Final answer
    x = 7,649.68

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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.