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Finding the Fourth Proportional to 13,292.57, 18,341.74 and 7,549.13

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Solution

The fourth proportional to 13,292.57, 18,341.74 and 7,549.13 is: 10,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,292.57 : 18,341.74 = 7,549.13 : x
  2. Step 2: Convert to fraction form
    13,292.57/18,341.74 = 7,549.13/x
  3. Step 3: Cross multiply
    13,292.57x = 18,341.74 × 7,549.13
  4. Step 4: Simplify right side
    13,292.57x = 138,464,179.69
  5. Step 5: Solve for x
    x = 138,464,179.69/13,292.57
  6. Step 6: Final answer
    x = 10,416.66

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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.