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Finding the Fourth Proportional to 13,194.66, 19,762.20 and 9,263.28

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Solution

The fourth proportional to 13,194.66, 19,762.20 and 9,263.28 is: 13,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.66 : 19,762.20 = 9,263.28 : x
  2. Step 2: Convert to fraction form
    13,194.66/19,762.20 = 9,263.28/x
  3. Step 3: Cross multiply
    13,194.66x = 19,762.20 × 9,263.28
  4. Step 4: Simplify right side
    13,194.66x = 183,062,792.02
  5. Step 5: Solve for x
    x = 183,062,792.02/13,194.66
  6. Step 6: Final answer
    x = 13,874.01

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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.