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Finding the Fourth Proportional to 26,615.84, 39,901.36 and 17,824.16

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Solution

The fourth proportional to 26,615.84, 39,901.36 and 17,824.16 is: 26,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,615.84 : 39,901.36 = 17,824.16 : x
  2. Step 2: Convert to fraction form
    26,615.84/39,901.36 = 17,824.16/x
  3. Step 3: Cross multiply
    26,615.84x = 39,901.36 × 17,824.16
  4. Step 4: Simplify right side
    26,615.84x = 711,208,224.86
  5. Step 5: Solve for x
    x = 711,208,224.86/26,615.84
  6. Step 6: Final answer
    x = 26,721.24

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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.