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Finding the Fourth Proportional to 23,088, 34,637.76 and 6,672

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Solution

The fourth proportional to 23,088, 34,637.76 and 6,672 is: 10,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,088 : 34,637.76 = 6,672 : x
  2. Step 2: Convert to fraction form
    23,088/34,637.76 = 6,672/x
  3. Step 3: Cross multiply
    23,088x = 34,637.76 × 6,672
  4. Step 4: Simplify right side
    23,088x = 231,103,134.72
  5. Step 5: Solve for x
    x = 231,103,134.72/23,088
  6. Step 6: Final answer
    x = 10,009.66

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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.