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Finding the Fourth Proportional to 15,831.66, 23,755.59 and 6,478.59

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Solution

The fourth proportional to 15,831.66, 23,755.59 and 6,478.59 is: 9,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831.66 : 23,755.59 = 6,478.59 : x
  2. Step 2: Convert to fraction form
    15,831.66/23,755.59 = 6,478.59/x
  3. Step 3: Cross multiply
    15,831.66x = 23,755.59 × 6,478.59
  4. Step 4: Simplify right side
    15,831.66x = 153,902,727.82
  5. Step 5: Solve for x
    x = 153,902,727.82/15,831.66
  6. Step 6: Final answer
    x = 9,721.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.