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Finding the Fourth Proportional to 15,339.44, 23,014.02 and 4,952

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Solution

The fourth proportional to 15,339.44, 23,014.02 and 4,952 is: 7,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,339.44 : 23,014.02 = 4,952 : x
  2. Step 2: Convert to fraction form
    15,339.44/23,014.02 = 4,952/x
  3. Step 3: Cross multiply
    15,339.44x = 23,014.02 × 4,952
  4. Step 4: Simplify right side
    15,339.44x = 113,965,427.04
  5. Step 5: Solve for x
    x = 113,965,427.04/15,339.44
  6. Step 6: Final answer
    x = 7,429.57

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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.