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Finding the Fourth Proportional to 13,841.76, 19,102.74 and 7,875.24

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Solution

The fourth proportional to 13,841.76, 19,102.74 and 7,875.24 is: 10,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.76 : 19,102.74 = 7,875.24 : x
  2. Step 2: Convert to fraction form
    13,841.76/19,102.74 = 7,875.24/x
  3. Step 3: Cross multiply
    13,841.76x = 19,102.74 × 7,875.24
  4. Step 4: Simplify right side
    13,841.76x = 150,438,662.16
  5. Step 5: Solve for x
    x = 150,438,662.16/13,841.76
  6. Step 6: Final answer
    x = 10,868.46

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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.