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Finding the Fourth Proportional to 13,930.76, 19,224.18 and 7,880.93

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Solution

The fourth proportional to 13,930.76, 19,224.18 and 7,880.93 is: 10,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.76 : 19,224.18 = 7,880.93 : x
  2. Step 2: Convert to fraction form
    13,930.76/19,224.18 = 7,880.93/x
  3. Step 3: Cross multiply
    13,930.76x = 19,224.18 × 7,880.93
  4. Step 4: Simplify right side
    13,930.76x = 151,504,416.89
  5. Step 5: Solve for x
    x = 151,504,416.89/13,930.76
  6. Step 6: Final answer
    x = 10,875.53

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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.