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Finding the Fourth Proportional to 34,904.76, 52,326.14 and 12,714

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Solution

The fourth proportional to 34,904.76, 52,326.14 and 12,714 is: 19,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,904.76 : 52,326.14 = 12,714 : x
  2. Step 2: Convert to fraction form
    34,904.76/52,326.14 = 12,714/x
  3. Step 3: Cross multiply
    34,904.76x = 52,326.14 × 12,714
  4. Step 4: Simplify right side
    34,904.76x = 665,274,543.96
  5. Step 5: Solve for x
    x = 665,274,543.96/34,904.76
  6. Step 6: Final answer
    x = 19,059.71

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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.