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Finding the Fourth Proportional to 13,807.61, 19,051.20 and 8,141.92

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Solution

The fourth proportional to 13,807.61, 19,051.20 and 8,141.92 is: 11,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.61 : 19,051.20 = 8,141.92 : x
  2. Step 2: Convert to fraction form
    13,807.61/19,051.20 = 8,141.92/x
  3. Step 3: Cross multiply
    13,807.61x = 19,051.20 × 8,141.92
  4. Step 4: Simplify right side
    13,807.61x = 155,113,298.68
  5. Step 5: Solve for x
    x = 155,113,298.68/13,807.61
  6. Step 6: Final answer
    x = 11,233.90

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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.