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Finding the Fourth Proportional to 13,516.76, 18,652.50 and 7,547.25

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Solution

The fourth proportional to 13,516.76, 18,652.50 and 7,547.25 is: 10,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.76 : 18,652.50 = 7,547.25 : x
  2. Step 2: Convert to fraction form
    13,516.76/18,652.50 = 7,547.25/x
  3. Step 3: Cross multiply
    13,516.76x = 18,652.50 × 7,547.25
  4. Step 4: Simplify right side
    13,516.76x = 140,775,080.63
  5. Step 5: Solve for x
    x = 140,775,080.63/13,516.76
  6. Step 6: Final answer
    x = 10,414.86

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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.