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Finding the Fourth Proportional to 22,688, 34,032 and 8,846.72

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Solution

The fourth proportional to 22,688, 34,032 and 8,846.72 is: 13,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,688 : 34,032 = 8,846.72 : x
  2. Step 2: Convert to fraction form
    22,688/34,032 = 8,846.72/x
  3. Step 3: Cross multiply
    22,688x = 34,032 × 8,846.72
  4. Step 4: Simplify right side
    22,688x = 301,071,575.04
  5. Step 5: Solve for x
    x = 301,071,575.04/22,688
  6. Step 6: Final answer
    x = 13,270.08

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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.