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Finding the Fourth Proportional to 13,245.75, 18,281.57 and 7,656.75

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Solution

The fourth proportional to 13,245.75, 18,281.57 and 7,656.75 is: 10,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,245.75 : 18,281.57 = 7,656.75 : x
  2. Step 2: Convert to fraction form
    13,245.75/18,281.57 = 7,656.75/x
  3. Step 3: Cross multiply
    13,245.75x = 18,281.57 × 7,656.75
  4. Step 4: Simplify right side
    13,245.75x = 139,977,411.10
  5. Step 5: Solve for x
    x = 139,977,411.10/13,245.75
  6. Step 6: Final answer
    x = 10,567.72

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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.