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Finding the Fourth Proportional to 22,881.96, 34,264.62 and 11,164.50

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Solution

The fourth proportional to 22,881.96, 34,264.62 and 11,164.50 is: 16,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,881.96 : 34,264.62 = 11,164.50 : x
  2. Step 2: Convert to fraction form
    22,881.96/34,264.62 = 11,164.50/x
  3. Step 3: Cross multiply
    22,881.96x = 34,264.62 × 11,164.50
  4. Step 4: Simplify right side
    22,881.96x = 382,547,349.99
  5. Step 5: Solve for x
    x = 382,547,349.99/22,881.96
  6. Step 6: Final answer
    x = 16,718.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.