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Finding the Fourth Proportional to 12,773.66, 19,143.86 and 6,528.42

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Solution

The fourth proportional to 12,773.66, 19,143.86 and 6,528.42 is: 9,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.66 : 19,143.86 = 6,528.42 : x
  2. Step 2: Convert to fraction form
    12,773.66/19,143.86 = 6,528.42/x
  3. Step 3: Cross multiply
    12,773.66x = 19,143.86 × 6,528.42
  4. Step 4: Simplify right side
    12,773.66x = 124,979,158.50
  5. Step 5: Solve for x
    x = 124,979,158.50/12,773.66
  6. Step 6: Final answer
    x = 9,784.13

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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.