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Finding the Fourth Proportional to 32,017.26, 44,186.43 and 17,678.40

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Solution

The fourth proportional to 32,017.26, 44,186.43 and 17,678.40 is: 24,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.26 : 44,186.43 = 17,678.40 : x
  2. Step 2: Convert to fraction form
    32,017.26/44,186.43 = 17,678.40/x
  3. Step 3: Cross multiply
    32,017.26x = 44,186.43 × 17,678.40
  4. Step 4: Simplify right side
    32,017.26x = 781,145,384.11
  5. Step 5: Solve for x
    x = 781,145,384.11/32,017.26
  6. Step 6: Final answer
    x = 24,397.63

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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.