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Finding the Fourth Proportional to 22,113.69, 30,516.19 and 13,159.14

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Solution

The fourth proportional to 22,113.69, 30,516.19 and 13,159.14 is: 18,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113.69 : 30,516.19 = 13,159.14 : x
  2. Step 2: Convert to fraction form
    22,113.69/30,516.19 = 13,159.14/x
  3. Step 3: Cross multiply
    22,113.69x = 30,516.19 × 13,159.14
  4. Step 4: Simplify right side
    22,113.69x = 401,566,783.58
  5. Step 5: Solve for x
    x = 401,566,783.58/22,113.69
  6. Step 6: Final answer
    x = 18,159.19

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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.