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Finding the Fourth Proportional to 30,197.34, 45,311.06 and 13,569.26

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Solution

The fourth proportional to 30,197.34, 45,311.06 and 13,569.26 is: 20,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.34 : 45,311.06 = 13,569.26 : x
  2. Step 2: Convert to fraction form
    30,197.34/45,311.06 = 13,569.26/x
  3. Step 3: Cross multiply
    30,197.34x = 45,311.06 × 13,569.26
  4. Step 4: Simplify right side
    30,197.34x = 614,837,361.38
  5. Step 5: Solve for x
    x = 614,837,361.38/30,197.34
  6. Step 6: Final answer
    x = 20,360.65

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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.