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Finding the Fourth Proportional to 19,615.38, 29,406.47 and 8,513.70

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Solution

The fourth proportional to 19,615.38, 29,406.47 and 8,513.70 is: 12,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.38 : 29,406.47 = 8,513.70 : x
  2. Step 2: Convert to fraction form
    19,615.38/29,406.47 = 8,513.70/x
  3. Step 3: Cross multiply
    19,615.38x = 29,406.47 × 8,513.70
  4. Step 4: Simplify right side
    19,615.38x = 250,357,821.07
  5. Step 5: Solve for x
    x = 250,357,821.07/19,615.38
  6. Step 6: Final answer
    x = 12,763.34

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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.