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Finding the Fourth Proportional to 19,689.27, 29,512.63 and 9,700.95

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Solution

The fourth proportional to 19,689.27, 29,512.63 and 9,700.95 is: 14,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.27 : 29,512.63 = 9,700.95 : x
  2. Step 2: Convert to fraction form
    19,689.27/29,512.63 = 9,700.95/x
  3. Step 3: Cross multiply
    19,689.27x = 29,512.63 × 9,700.95
  4. Step 4: Simplify right side
    19,689.27x = 286,300,548.00
  5. Step 5: Solve for x
    x = 286,300,548.00/19,689.27
  6. Step 6: Final answer
    x = 14,540.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.