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Finding the Fourth Proportional to 13,808.58, 19,060.14 and 7,844.22

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Solution

The fourth proportional to 13,808.58, 19,060.14 and 7,844.22 is: 10,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.58 : 19,060.14 = 7,844.22 : x
  2. Step 2: Convert to fraction form
    13,808.58/19,060.14 = 7,844.22/x
  3. Step 3: Cross multiply
    13,808.58x = 19,060.14 × 7,844.22
  4. Step 4: Simplify right side
    13,808.58x = 149,511,931.39
  5. Step 5: Solve for x
    x = 149,511,931.39/13,808.58
  6. Step 6: Final answer
    x = 10,827.47

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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.