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Finding the Fourth Proportional to 15,893.55, 23,831.05 and 4,796.91

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Solution

The fourth proportional to 15,893.55, 23,831.05 and 4,796.91 is: 7,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.55 : 23,831.05 = 4,796.91 : x
  2. Step 2: Convert to fraction form
    15,893.55/23,831.05 = 4,796.91/x
  3. Step 3: Cross multiply
    15,893.55x = 23,831.05 × 4,796.91
  4. Step 4: Simplify right side
    15,893.55x = 114,315,402.06
  5. Step 5: Solve for x
    x = 114,315,402.06/15,893.55
  6. Step 6: Final answer
    x = 7,192.57

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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.