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Finding the Fourth Proportional to 30,368.97, 45,567.63 and 13,734

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Solution

The fourth proportional to 30,368.97, 45,567.63 and 13,734 is: 20,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,368.97 : 45,567.63 = 13,734 : x
  2. Step 2: Convert to fraction form
    30,368.97/45,567.63 = 13,734/x
  3. Step 3: Cross multiply
    30,368.97x = 45,567.63 × 13,734
  4. Step 4: Simplify right side
    30,368.97x = 625,825,830.42
  5. Step 5: Solve for x
    x = 625,825,830.42/30,368.97
  6. Step 6: Final answer
    x = 20,607.41

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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.