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Finding the Fourth Proportional to 17,070.48, 25,602.84 and 5,382

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Solution

The fourth proportional to 17,070.48, 25,602.84 and 5,382 is: 8,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,070.48 : 25,602.84 = 5,382 : x
  2. Step 2: Convert to fraction form
    17,070.48/25,602.84 = 5,382/x
  3. Step 3: Cross multiply
    17,070.48x = 25,602.84 × 5,382
  4. Step 4: Simplify right side
    17,070.48x = 137,794,484.88
  5. Step 5: Solve for x
    x = 137,794,484.88/17,070.48
  6. Step 6: Final answer
    x = 8,072.09

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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.