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Finding the Fourth Proportional to 13,492.65, 18,617.94 and 7,523.46

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Solution

The fourth proportional to 13,492.65, 18,617.94 and 7,523.46 is: 10,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.65 : 18,617.94 = 7,523.46 : x
  2. Step 2: Convert to fraction form
    13,492.65/18,617.94 = 7,523.46/x
  3. Step 3: Cross multiply
    13,492.65x = 18,617.94 × 7,523.46
  4. Step 4: Simplify right side
    13,492.65x = 140,071,326.87
  5. Step 5: Solve for x
    x = 140,071,326.87/13,492.65
  6. Step 6: Final answer
    x = 10,381.31

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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.