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Finding the Fourth Proportional to 13,516.87, 18,651.43 and 7,547.77

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Solution

The fourth proportional to 13,516.87, 18,651.43 and 7,547.77 is: 10,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.87 : 18,651.43 = 7,547.77 : x
  2. Step 2: Convert to fraction form
    13,516.87/18,651.43 = 7,547.77/x
  3. Step 3: Cross multiply
    13,516.87x = 18,651.43 × 7,547.77
  4. Step 4: Simplify right side
    13,516.87x = 140,776,666.07
  5. Step 5: Solve for x
    x = 140,776,666.07/13,516.87
  6. Step 6: Final answer
    x = 10,414.89

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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.