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Finding the Fourth Proportional to 13,201.70, 19,802.57 and 5,415.98

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Solution

The fourth proportional to 13,201.70, 19,802.57 and 5,415.98 is: 8,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.70 : 19,802.57 = 5,415.98 : x
  2. Step 2: Convert to fraction form
    13,201.70/19,802.57 = 5,415.98/x
  3. Step 3: Cross multiply
    13,201.70x = 19,802.57 × 5,415.98
  4. Step 4: Simplify right side
    13,201.70x = 107,250,323.07
  5. Step 5: Solve for x
    x = 107,250,323.07/13,201.70
  6. Step 6: Final answer
    x = 8,123.98

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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.