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Finding the Fourth Proportional to 13,203.36, 19,784.18 and 4,871.90

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Solution

The fourth proportional to 13,203.36, 19,784.18 and 4,871.90 is: 7,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.36 : 19,784.18 = 4,871.90 : x
  2. Step 2: Convert to fraction form
    13,203.36/19,784.18 = 4,871.90/x
  3. Step 3: Cross multiply
    13,203.36x = 19,784.18 × 4,871.90
  4. Step 4: Simplify right side
    13,203.36x = 96,386,546.54
  5. Step 5: Solve for x
    x = 96,386,546.54/13,203.36
  6. Step 6: Final answer
    x = 7,300.15

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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.