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Finding the Fourth Proportional to 19,663.30, 29,514.15 and 9,813.70

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Solution

The fourth proportional to 19,663.30, 29,514.15 and 9,813.70 is: 14,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,663.30 : 29,514.15 = 9,813.70 : x
  2. Step 2: Convert to fraction form
    19,663.30/29,514.15 = 9,813.70/x
  3. Step 3: Cross multiply
    19,663.30x = 29,514.15 × 9,813.70
  4. Step 4: Simplify right side
    19,663.30x = 289,643,013.86
  5. Step 5: Solve for x
    x = 289,643,013.86/19,663.30
  6. Step 6: Final answer
    x = 14,730.13

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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.