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Finding the Fourth Proportional to 19,256.02, 28,878.15 and 8,162.50

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Solution

The fourth proportional to 19,256.02, 28,878.15 and 8,162.50 is: 12,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,256.02 : 28,878.15 = 8,162.50 : x
  2. Step 2: Convert to fraction form
    19,256.02/28,878.15 = 8,162.50/x
  3. Step 3: Cross multiply
    19,256.02x = 28,878.15 × 8,162.50
  4. Step 4: Simplify right side
    19,256.02x = 235,717,899.38
  5. Step 5: Solve for x
    x = 235,717,899.38/19,256.02
  6. Step 6: Final answer
    x = 12,241.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.