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Finding the Fourth Proportional to 13,911.60, 19,203.24 and 9,202.32

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Solution

The fourth proportional to 13,911.60, 19,203.24 and 9,202.32 is: 12,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.60 : 19,203.24 = 9,202.32 : x
  2. Step 2: Convert to fraction form
    13,911.60/19,203.24 = 9,202.32/x
  3. Step 3: Cross multiply
    13,911.60x = 19,203.24 × 9,202.32
  4. Step 4: Simplify right side
    13,911.60x = 176,714,359.52
  5. Step 5: Solve for x
    x = 176,714,359.52/13,911.60
  6. Step 6: Final answer
    x = 12,702.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.