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Finding the Fourth Proportional to 15,363.81, 23,026.57 and 6,588.47

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Solution

The fourth proportional to 15,363.81, 23,026.57 and 6,588.47 is: 9,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,363.81 : 23,026.57 = 6,588.47 : x
  2. Step 2: Convert to fraction form
    15,363.81/23,026.57 = 6,588.47/x
  3. Step 3: Cross multiply
    15,363.81x = 23,026.57 × 6,588.47
  4. Step 4: Simplify right side
    15,363.81x = 151,709,906.74
  5. Step 5: Solve for x
    x = 151,709,906.74/15,363.81
  6. Step 6: Final answer
    x = 9,874.50

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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.