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Finding the Fourth Proportional to 15,967.56, 22,048.56 and 11,742.24

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Solution

The fourth proportional to 15,967.56, 22,048.56 and 11,742.24 is: 16,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,967.56 : 22,048.56 = 11,742.24 : x
  2. Step 2: Convert to fraction form
    15,967.56/22,048.56 = 11,742.24/x
  3. Step 3: Cross multiply
    15,967.56x = 22,048.56 × 11,742.24
  4. Step 4: Simplify right side
    15,967.56x = 258,899,483.17
  5. Step 5: Solve for x
    x = 258,899,483.17/15,967.56
  6. Step 6: Final answer
    x = 16,214.09

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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.