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Finding the Fourth Proportional to 19,663.52, 29,477.46 and 9,805.82

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Solution

The fourth proportional to 19,663.52, 29,477.46 and 9,805.82 is: 14,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,663.52 : 29,477.46 = 9,805.82 : x
  2. Step 2: Convert to fraction form
    19,663.52/29,477.46 = 9,805.82/x
  3. Step 3: Cross multiply
    19,663.52x = 29,477.46 × 9,805.82
  4. Step 4: Simplify right side
    19,663.52x = 289,050,617.79
  5. Step 5: Solve for x
    x = 289,050,617.79/19,663.52
  6. Step 6: Final answer
    x = 14,699.84

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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.