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Finding the Fourth Proportional to 13,201.47, 19,803.15 and 3,841.58

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Solution

The fourth proportional to 13,201.47, 19,803.15 and 3,841.58 is: 5,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.47 : 19,803.15 = 3,841.58 : x
  2. Step 2: Convert to fraction form
    13,201.47/19,803.15 = 3,841.58/x
  3. Step 3: Cross multiply
    13,201.47x = 19,803.15 × 3,841.58
  4. Step 4: Simplify right side
    13,201.47x = 76,075,434.48
  5. Step 5: Solve for x
    x = 76,075,434.48/13,201.47
  6. Step 6: Final answer
    x = 5,762.65

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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.