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Finding the Fourth Proportional to 13,506.84, 18,639.60 and 7,538.40

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Solution

The fourth proportional to 13,506.84, 18,639.60 and 7,538.40 is: 10,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.84 : 18,639.60 = 7,538.40 : x
  2. Step 2: Convert to fraction form
    13,506.84/18,639.60 = 7,538.40/x
  3. Step 3: Cross multiply
    13,506.84x = 18,639.60 × 7,538.40
  4. Step 4: Simplify right side
    13,506.84x = 140,512,760.64
  5. Step 5: Solve for x
    x = 140,512,760.64/13,506.84
  6. Step 6: Final answer
    x = 10,403.08

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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.