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Finding the Fourth Proportional to 16,561.44, 22,856.40 and 12,362.40

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Solution

The fourth proportional to 16,561.44, 22,856.40 and 12,362.40 is: 17,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.44 : 22,856.40 = 12,362.40 : x
  2. Step 2: Convert to fraction form
    16,561.44/22,856.40 = 12,362.40/x
  3. Step 3: Cross multiply
    16,561.44x = 22,856.40 × 12,362.40
  4. Step 4: Simplify right side
    16,561.44x = 282,559,959.36
  5. Step 5: Solve for x
    x = 282,559,959.36/16,561.44
  6. Step 6: Final answer
    x = 17,061.32

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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.