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Finding the Fourth Proportional to 13,808.50, 19,056.76 and 7,840.42

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Solution

The fourth proportional to 13,808.50, 19,056.76 and 7,840.42 is: 10,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.50 : 19,056.76 = 7,840.42 : x
  2. Step 2: Convert to fraction form
    13,808.50/19,056.76 = 7,840.42/x
  3. Step 3: Cross multiply
    13,808.50x = 19,056.76 × 7,840.42
  4. Step 4: Simplify right side
    13,808.50x = 149,413,002.24
  5. Step 5: Solve for x
    x = 149,413,002.24/13,808.50
  6. Step 6: Final answer
    x = 10,820.36

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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.