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Finding the Fourth Proportional to 26,830.74, 37,009.58 and 17,283

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Solution

The fourth proportional to 26,830.74, 37,009.58 and 17,283 is: 23,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,830.74 : 37,009.58 = 17,283 : x
  2. Step 2: Convert to fraction form
    26,830.74/37,009.58 = 17,283/x
  3. Step 3: Cross multiply
    26,830.74x = 37,009.58 × 17,283
  4. Step 4: Simplify right side
    26,830.74x = 639,636,571.14
  5. Step 5: Solve for x
    x = 639,636,571.14/26,830.74
  6. Step 6: Final answer
    x = 23,839.69

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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.