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Finding the Fourth Proportional to 13,547.05, 18,691.32 and 9,299.41

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Solution

The fourth proportional to 13,547.05, 18,691.32 and 9,299.41 is: 12,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.05 : 18,691.32 = 9,299.41 : x
  2. Step 2: Convert to fraction form
    13,547.05/18,691.32 = 9,299.41/x
  3. Step 3: Cross multiply
    13,547.05x = 18,691.32 × 9,299.41
  4. Step 4: Simplify right side
    13,547.05x = 173,818,154.66
  5. Step 5: Solve for x
    x = 173,818,154.66/13,547.05
  6. Step 6: Final answer
    x = 12,830.71

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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.