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Finding the Fourth Proportional to 13,636.58, 20,454.86 and 4,871.50

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Solution

The fourth proportional to 13,636.58, 20,454.86 and 4,871.50 is: 7,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636.58 : 20,454.86 = 4,871.50 : x
  2. Step 2: Convert to fraction form
    13,636.58/20,454.86 = 4,871.50/x
  3. Step 3: Cross multiply
    13,636.58x = 20,454.86 × 4,871.50
  4. Step 4: Simplify right side
    13,636.58x = 99,645,850.49
  5. Step 5: Solve for x
    x = 99,645,850.49/13,636.58
  6. Step 6: Final answer
    x = 7,307.25

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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.