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Finding the Fourth Proportional to 19,160.64, 28,746 and 6,013.44

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Solution

The fourth proportional to 19,160.64, 28,746 and 6,013.44 is: 9,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,160.64 : 28,746 = 6,013.44 : x
  2. Step 2: Convert to fraction form
    19,160.64/28,746 = 6,013.44/x
  3. Step 3: Cross multiply
    19,160.64x = 28,746 × 6,013.44
  4. Step 4: Simplify right side
    19,160.64x = 172,862,346.24
  5. Step 5: Solve for x
    x = 172,862,346.24/19,160.64
  6. Step 6: Final answer
    x = 9,021.74

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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.