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Finding the Fourth Proportional to 12,547.34, 18,800.24 and 5,516.81

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Solution

The fourth proportional to 12,547.34, 18,800.24 and 5,516.81 is: 8,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.34 : 18,800.24 = 5,516.81 : x
  2. Step 2: Convert to fraction form
    12,547.34/18,800.24 = 5,516.81/x
  3. Step 3: Cross multiply
    12,547.34x = 18,800.24 × 5,516.81
  4. Step 4: Simplify right side
    12,547.34x = 103,717,352.03
  5. Step 5: Solve for x
    x = 103,717,352.03/12,547.34
  6. Step 6: Final answer
    x = 8,266.08

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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.