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Finding the Fourth Proportional to 34,813.61, 52,222.44 and 9,851.57

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Solution

The fourth proportional to 34,813.61, 52,222.44 and 9,851.57 is: 14,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,813.61 : 52,222.44 = 9,851.57 : x
  2. Step 2: Convert to fraction form
    34,813.61/52,222.44 = 9,851.57/x
  3. Step 3: Cross multiply
    34,813.61x = 52,222.44 × 9,851.57
  4. Step 4: Simplify right side
    34,813.61x = 514,472,762.12
  5. Step 5: Solve for x
    x = 514,472,762.12/34,813.61
  6. Step 6: Final answer
    x = 14,777.92

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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.