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Finding the Fourth Proportional to 15,870, 21,870.40 and 11,622.36

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Solution

The fourth proportional to 15,870, 21,870.40 and 11,622.36 is: 16,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870 : 21,870.40 = 11,622.36 : x
  2. Step 2: Convert to fraction form
    15,870/21,870.40 = 11,622.36/x
  3. Step 3: Cross multiply
    15,870x = 21,870.40 × 11,622.36
  4. Step 4: Simplify right side
    15,870x = 254,185,662.14
  5. Step 5: Solve for x
    x = 254,185,662.14/15,870
  6. Step 6: Final answer
    x = 16,016.74

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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.