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Finding the Fourth Proportional to 16,161, 22,302.45 and 10,572

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Solution

The fourth proportional to 16,161, 22,302.45 and 10,572 is: 14,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161 : 22,302.45 = 10,572 : x
  2. Step 2: Convert to fraction form
    16,161/22,302.45 = 10,572/x
  3. Step 3: Cross multiply
    16,161x = 22,302.45 × 10,572
  4. Step 4: Simplify right side
    16,161x = 235,781,501.40
  5. Step 5: Solve for x
    x = 235,781,501.40/16,161
  6. Step 6: Final answer
    x = 14,589.54

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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.