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Finding the Fourth Proportional to 13,203.48, 19,784.16 and 9,677.16

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Solution

The fourth proportional to 13,203.48, 19,784.16 and 9,677.16 is: 14,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.48 : 19,784.16 = 9,677.16 : x
  2. Step 2: Convert to fraction form
    13,203.48/19,784.16 = 9,677.16/x
  3. Step 3: Cross multiply
    13,203.48x = 19,784.16 × 9,677.16
  4. Step 4: Simplify right side
    13,203.48x = 191,454,481.79
  5. Step 5: Solve for x
    x = 191,454,481.79/13,203.48
  6. Step 6: Final answer
    x = 14,500.30

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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.