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Finding the Fourth Proportional to 34,053.64, 51,095.15 and 13,000

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Solution

The fourth proportional to 34,053.64, 51,095.15 and 13,000 is: 19,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,053.64 : 51,095.15 = 13,000 : x
  2. Step 2: Convert to fraction form
    34,053.64/51,095.15 = 13,000/x
  3. Step 3: Cross multiply
    34,053.64x = 51,095.15 × 13,000
  4. Step 4: Simplify right side
    34,053.64x = 664,236,950
  5. Step 5: Solve for x
    x = 664,236,950/34,053.64
  6. Step 6: Final answer
    x = 19,505.61

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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.