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Finding the Fourth Proportional to 13,812.57, 19,055.28 and 9,334.68

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Solution

The fourth proportional to 13,812.57, 19,055.28 and 9,334.68 is: 12,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.57 : 19,055.28 = 9,334.68 : x
  2. Step 2: Convert to fraction form
    13,812.57/19,055.28 = 9,334.68/x
  3. Step 3: Cross multiply
    13,812.57x = 19,055.28 × 9,334.68
  4. Step 4: Simplify right side
    13,812.57x = 177,874,941.11
  5. Step 5: Solve for x
    x = 177,874,941.11/13,812.57
  6. Step 6: Final answer
    x = 12,877.76

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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.