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Finding the Fourth Proportional to 15,433.52, 21,298.36 and 8,360

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Solution

The fourth proportional to 15,433.52, 21,298.36 and 8,360 is: 11,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,433.52 : 21,298.36 = 8,360 : x
  2. Step 2: Convert to fraction form
    15,433.52/21,298.36 = 8,360/x
  3. Step 3: Cross multiply
    15,433.52x = 21,298.36 × 8,360
  4. Step 4: Simplify right side
    15,433.52x = 178,054,289.60
  5. Step 5: Solve for x
    x = 178,054,289.60/15,433.52
  6. Step 6: Final answer
    x = 11,536.86

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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.