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Finding the Fourth Proportional to 30,798.90, 46,195.11 and 13,266.18

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Solution

The fourth proportional to 30,798.90, 46,195.11 and 13,266.18 is: 19,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798.90 : 46,195.11 = 13,266.18 : x
  2. Step 2: Convert to fraction form
    30,798.90/46,195.11 = 13,266.18/x
  3. Step 3: Cross multiply
    30,798.90x = 46,195.11 × 13,266.18
  4. Step 4: Simplify right side
    30,798.90x = 612,832,644.38
  5. Step 5: Solve for x
    x = 612,832,644.38/30,798.90
  6. Step 6: Final answer
    x = 19,897.87

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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.