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Finding the Fourth Proportional to 14,523.71, 20,035.34 and 9,490.88

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Solution

The fourth proportional to 14,523.71, 20,035.34 and 9,490.88 is: 13,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.71 : 20,035.34 = 9,490.88 : x
  2. Step 2: Convert to fraction form
    14,523.71/20,035.34 = 9,490.88/x
  3. Step 3: Cross multiply
    14,523.71x = 20,035.34 × 9,490.88
  4. Step 4: Simplify right side
    14,523.71x = 190,152,860.07
  5. Step 5: Solve for x
    x = 190,152,860.07/14,523.71
  6. Step 6: Final answer
    x = 13,092.59

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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.