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Finding the Fourth Proportional to 13,302.28, 19,955.85 and 5,506.84

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Solution

The fourth proportional to 13,302.28, 19,955.85 and 5,506.84 is: 8,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.28 : 19,955.85 = 5,506.84 : x
  2. Step 2: Convert to fraction form
    13,302.28/19,955.85 = 5,506.84/x
  3. Step 3: Cross multiply
    13,302.28x = 19,955.85 × 5,506.84
  4. Step 4: Simplify right side
    13,302.28x = 109,893,673.01
  5. Step 5: Solve for x
    x = 109,893,673.01/13,302.28
  6. Step 6: Final answer
    x = 8,261.27

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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.