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Finding the Fourth Proportional to 19,710.73, 29,566.40 and 6,563.11

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Solution

The fourth proportional to 19,710.73, 29,566.40 and 6,563.11 is: 9,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.73 : 29,566.40 = 6,563.11 : x
  2. Step 2: Convert to fraction form
    19,710.73/29,566.40 = 6,563.11/x
  3. Step 3: Cross multiply
    19,710.73x = 29,566.40 × 6,563.11
  4. Step 4: Simplify right side
    19,710.73x = 194,047,535.50
  5. Step 5: Solve for x
    x = 194,047,535.50/19,710.73
  6. Step 6: Final answer
    x = 9,844.77

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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.