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Finding the Fourth Proportional to 19,511.46, 29,259.90 and 6,182.91

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Solution

The fourth proportional to 19,511.46, 29,259.90 and 6,182.91 is: 9,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,511.46 : 29,259.90 = 6,182.91 : x
  2. Step 2: Convert to fraction form
    19,511.46/29,259.90 = 6,182.91/x
  3. Step 3: Cross multiply
    19,511.46x = 29,259.90 × 6,182.91
  4. Step 4: Simplify right side
    19,511.46x = 180,911,328.31
  5. Step 5: Solve for x
    x = 180,911,328.31/19,511.46
  6. Step 6: Final answer
    x = 9,272.05

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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.