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Finding the Fourth Proportional to 34,185.61, 51,274.27 and 9,223.75

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Solution

The fourth proportional to 34,185.61, 51,274.27 and 9,223.75 is: 13,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,185.61 : 51,274.27 = 9,223.75 : x
  2. Step 2: Convert to fraction form
    34,185.61/51,274.27 = 9,223.75/x
  3. Step 3: Cross multiply
    34,185.61x = 51,274.27 × 9,223.75
  4. Step 4: Simplify right side
    34,185.61x = 472,941,047.91
  5. Step 5: Solve for x
    x = 472,941,047.91/34,185.61
  6. Step 6: Final answer
    x = 13,834.51

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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.