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Finding the Fourth Proportional to 13,517.35, 18,653.74 and 7,549.10

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Solution

The fourth proportional to 13,517.35, 18,653.74 and 7,549.10 is: 10,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.35 : 18,653.74 = 7,549.10 : x
  2. Step 2: Convert to fraction form
    13,517.35/18,653.74 = 7,549.10/x
  3. Step 3: Cross multiply
    13,517.35x = 18,653.74 × 7,549.10
  4. Step 4: Simplify right side
    13,517.35x = 140,818,948.91
  5. Step 5: Solve for x
    x = 140,818,948.91/13,517.35
  6. Step 6: Final answer
    x = 10,417.65

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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.