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Finding the Fourth Proportional to 10,104.23, 13,950.22 and 7,447.01

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Solution

The fourth proportional to 10,104.23, 13,950.22 and 7,447.01 is: 10,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.23 : 13,950.22 = 7,447.01 : x
  2. Step 2: Convert to fraction form
    10,104.23/13,950.22 = 7,447.01/x
  3. Step 3: Cross multiply
    10,104.23x = 13,950.22 × 7,447.01
  4. Step 4: Simplify right side
    10,104.23x = 103,887,427.84
  5. Step 5: Solve for x
    x = 103,887,427.84/10,104.23
  6. Step 6: Final answer
    x = 10,281.58

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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.