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Finding the Fourth Proportional to 15,882.94, 21,916.74 and 9,508.24

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Solution

The fourth proportional to 15,882.94, 21,916.74 and 9,508.24 is: 13,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.94 : 21,916.74 = 9,508.24 : x
  2. Step 2: Convert to fraction form
    15,882.94/21,916.74 = 9,508.24/x
  3. Step 3: Cross multiply
    15,882.94x = 21,916.74 × 9,508.24
  4. Step 4: Simplify right side
    15,882.94x = 208,389,623.94
  5. Step 5: Solve for x
    x = 208,389,623.94/15,882.94
  6. Step 6: Final answer
    x = 13,120.34

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1.5x scale

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.