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Finding the Fourth Proportional to 18,865.32, 28,297.66 and 6,553

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Solution

The fourth proportional to 18,865.32, 28,297.66 and 6,553 is: 9,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,865.32 : 28,297.66 = 6,553 : x
  2. Step 2: Convert to fraction form
    18,865.32/28,297.66 = 6,553/x
  3. Step 3: Cross multiply
    18,865.32x = 28,297.66 × 6,553
  4. Step 4: Simplify right side
    18,865.32x = 185,434,565.98
  5. Step 5: Solve for x
    x = 185,434,565.98/18,865.32
  6. Step 6: Final answer
    x = 9,829.39

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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.