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Finding the Fourth Proportional to 27,577.52, 38,069.88 and 17,647.28

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Solution

The fourth proportional to 27,577.52, 38,069.88 and 17,647.28 is: 24,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.52 : 38,069.88 = 17,647.28 : x
  2. Step 2: Convert to fraction form
    27,577.52/38,069.88 = 17,647.28/x
  3. Step 3: Cross multiply
    27,577.52x = 38,069.88 × 17,647.28
  4. Step 4: Simplify right side
    27,577.52x = 671,829,831.93
  5. Step 5: Solve for x
    x = 671,829,831.93/27,577.52
  6. Step 6: Final answer
    x = 24,361.50

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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.