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Finding the Fourth Proportional to 15,901.94, 21,948.66 and 9,191.46

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Solution

The fourth proportional to 15,901.94, 21,948.66 and 9,191.46 is: 12,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.94 : 21,948.66 = 9,191.46 : x
  2. Step 2: Convert to fraction form
    15,901.94/21,948.66 = 9,191.46/x
  3. Step 3: Cross multiply
    15,901.94x = 21,948.66 × 9,191.46
  4. Step 4: Simplify right side
    15,901.94x = 201,740,230.44
  5. Step 5: Solve for x
    x = 201,740,230.44/15,901.94
  6. Step 6: Final answer
    x = 12,686.52

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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.