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Finding the Fourth Proportional to 34,468.13, 51,707.06 and 12,274.94

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Solution

The fourth proportional to 34,468.13, 51,707.06 and 12,274.94 is: 18,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,468.13 : 51,707.06 = 12,274.94 : x
  2. Step 2: Convert to fraction form
    34,468.13/51,707.06 = 12,274.94/x
  3. Step 3: Cross multiply
    34,468.13x = 51,707.06 × 12,274.94
  4. Step 4: Simplify right side
    34,468.13x = 634,701,173.00
  5. Step 5: Solve for x
    x = 634,701,173.00/34,468.13
  6. Step 6: Final answer
    x = 18,414.14

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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.