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Finding the Fourth Proportional to 29,588.83, 40,831.54 and 17,646

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Solution

The fourth proportional to 29,588.83, 40,831.54 and 17,646 is: 24,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,588.83 : 40,831.54 = 17,646 : x
  2. Step 2: Convert to fraction form
    29,588.83/40,831.54 = 17,646/x
  3. Step 3: Cross multiply
    29,588.83x = 40,831.54 × 17,646
  4. Step 4: Simplify right side
    29,588.83x = 720,513,354.84
  5. Step 5: Solve for x
    x = 720,513,354.84/29,588.83
  6. Step 6: Final answer
    x = 24,350.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.