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Finding the Fourth Proportional to 15,352.72, 21,180.48 and 9,382

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Solution

The fourth proportional to 15,352.72, 21,180.48 and 9,382 is: 12,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,352.72 : 21,180.48 = 9,382 : x
  2. Step 2: Convert to fraction form
    15,352.72/21,180.48 = 9,382/x
  3. Step 3: Cross multiply
    15,352.72x = 21,180.48 × 9,382
  4. Step 4: Simplify right side
    15,352.72x = 198,715,263.36
  5. Step 5: Solve for x
    x = 198,715,263.36/15,352.72
  6. Step 6: Final answer
    x = 12,943.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.