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Finding the Fourth Proportional to 13,417.62, 18,516.70 and 7,368.14

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Solution

The fourth proportional to 13,417.62, 18,516.70 and 7,368.14 is: 10,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.62 : 18,516.70 = 7,368.14 : x
  2. Step 2: Convert to fraction form
    13,417.62/18,516.70 = 7,368.14/x
  3. Step 3: Cross multiply
    13,417.62x = 18,516.70 × 7,368.14
  4. Step 4: Simplify right side
    13,417.62x = 136,433,637.94
  5. Step 5: Solve for x
    x = 136,433,637.94/13,417.62
  6. Step 6: Final answer
    x = 10,168.24

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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.