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Finding the Fourth Proportional to 15,121, 22,681.50 and 5,893.48

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Solution

The fourth proportional to 15,121, 22,681.50 and 5,893.48 is: 8,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,121 : 22,681.50 = 5,893.48 : x
  2. Step 2: Convert to fraction form
    15,121/22,681.50 = 5,893.48/x
  3. Step 3: Cross multiply
    15,121x = 22,681.50 × 5,893.48
  4. Step 4: Simplify right side
    15,121x = 133,672,966.62
  5. Step 5: Solve for x
    x = 133,672,966.62/15,121
  6. Step 6: Final answer
    x = 8,840.22

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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.