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Finding the Fourth Proportional to 13,783.84, 20,674.80 and 4,549.28

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Solution

The fourth proportional to 13,783.84, 20,674.80 and 4,549.28 is: 6,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.84 : 20,674.80 = 4,549.28 : x
  2. Step 2: Convert to fraction form
    13,783.84/20,674.80 = 4,549.28/x
  3. Step 3: Cross multiply
    13,783.84x = 20,674.80 × 4,549.28
  4. Step 4: Simplify right side
    13,783.84x = 94,055,454.14
  5. Step 5: Solve for x
    x = 94,055,454.14/13,783.84
  6. Step 6: Final answer
    x = 6,823.60

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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.