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Finding the Fourth Proportional to 12,803.60, 17,632.32 and 9,261.20

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Solution

The fourth proportional to 12,803.60, 17,632.32 and 9,261.20 is: 12,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.60 : 17,632.32 = 9,261.20 : x
  2. Step 2: Convert to fraction form
    12,803.60/17,632.32 = 9,261.20/x
  3. Step 3: Cross multiply
    12,803.60x = 17,632.32 × 9,261.20
  4. Step 4: Simplify right side
    12,803.60x = 163,296,441.98
  5. Step 5: Solve for x
    x = 163,296,441.98/12,803.60
  6. Step 6: Final answer
    x = 12,753.95

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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.