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Finding the Fourth Proportional to 13,203.06, 19,804.77 and 5,417.34

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Solution

The fourth proportional to 13,203.06, 19,804.77 and 5,417.34 is: 8,126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.06 : 19,804.77 = 5,417.34 : x
  2. Step 2: Convert to fraction form
    13,203.06/19,804.77 = 5,417.34/x
  3. Step 3: Cross multiply
    13,203.06x = 19,804.77 × 5,417.34
  4. Step 4: Simplify right side
    13,203.06x = 107,289,172.71
  5. Step 5: Solve for x
    x = 107,289,172.71/13,203.06
  6. Step 6: Final answer
    x = 8,126.08

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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.