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Finding the Fourth Proportional to 13,402.16, 18,488.76 and 8,363.12

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Solution

The fourth proportional to 13,402.16, 18,488.76 and 8,363.12 is: 11,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.16 : 18,488.76 = 8,363.12 : x
  2. Step 2: Convert to fraction form
    13,402.16/18,488.76 = 8,363.12/x
  3. Step 3: Cross multiply
    13,402.16x = 18,488.76 × 8,363.12
  4. Step 4: Simplify right side
    13,402.16x = 154,623,718.53
  5. Step 5: Solve for x
    x = 154,623,718.53/13,402.16
  6. Step 6: Final answer
    x = 11,537.22

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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.