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Finding the Fourth Proportional to 13,547.22, 18,695.17 and 7,578.89

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Solution

The fourth proportional to 13,547.22, 18,695.17 and 7,578.89 is: 10,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.22 : 18,695.17 = 7,578.89 : x
  2. Step 2: Convert to fraction form
    13,547.22/18,695.17 = 7,578.89/x
  3. Step 3: Cross multiply
    13,547.22x = 18,695.17 × 7,578.89
  4. Step 4: Simplify right side
    13,547.22x = 141,688,636.96
  5. Step 5: Solve for x
    x = 141,688,636.96/13,547.22
  6. Step 6: Final answer
    x = 10,458.87

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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.