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Finding the Fourth Proportional to 28,974.60, 43,465.14 and 9,246.24

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Solution

The fourth proportional to 28,974.60, 43,465.14 and 9,246.24 is: 13,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,974.60 : 43,465.14 = 9,246.24 : x
  2. Step 2: Convert to fraction form
    28,974.60/43,465.14 = 9,246.24/x
  3. Step 3: Cross multiply
    28,974.60x = 43,465.14 × 9,246.24
  4. Step 4: Simplify right side
    28,974.60x = 401,889,116.07
  5. Step 5: Solve for x
    x = 401,889,116.07/28,974.60
  6. Step 6: Final answer
    x = 13,870.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.