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Finding the Fourth Proportional to 15,876.95, 21,905.15 and 9,161.69

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Solution

The fourth proportional to 15,876.95, 21,905.15 and 9,161.69 is: 12,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.95 : 21,905.15 = 9,161.69 : x
  2. Step 2: Convert to fraction form
    15,876.95/21,905.15 = 9,161.69/x
  3. Step 3: Cross multiply
    15,876.95x = 21,905.15 × 9,161.69
  4. Step 4: Simplify right side
    15,876.95x = 200,688,038.37
  5. Step 5: Solve for x
    x = 200,688,038.37/15,876.95
  6. Step 6: Final answer
    x = 12,640.22

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