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Finding the Fourth Proportional to 24,783.54, 34,188.72 and 15,821.70

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Solution

The fourth proportional to 24,783.54, 34,188.72 and 15,821.70 is: 21,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.54 : 34,188.72 = 15,821.70 : x
  2. Step 2: Convert to fraction form
    24,783.54/34,188.72 = 15,821.70/x
  3. Step 3: Cross multiply
    24,783.54x = 34,188.72 × 15,821.70
  4. Step 4: Simplify right side
    24,783.54x = 540,923,671.22
  5. Step 5: Solve for x
    x = 540,923,671.22/24,783.54
  6. Step 6: Final answer
    x = 21,825.92

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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.