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Finding the Fourth Proportional to 14,897.11, 20,540.98 and 9,512.23

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Solution

The fourth proportional to 14,897.11, 20,540.98 and 9,512.23 is: 13,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.11 : 20,540.98 = 9,512.23 : x
  2. Step 2: Convert to fraction form
    14,897.11/20,540.98 = 9,512.23/x
  3. Step 3: Cross multiply
    14,897.11x = 20,540.98 × 9,512.23
  4. Step 4: Simplify right side
    14,897.11x = 195,390,478.62
  5. Step 5: Solve for x
    x = 195,390,478.62/14,897.11
  6. Step 6: Final answer
    x = 13,116.00

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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.