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Finding the Fourth Proportional to 30,267.40, 45,415.74 and 13,639.24

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Solution

The fourth proportional to 30,267.40, 45,415.74 and 13,639.24 is: 20,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267.40 : 45,415.74 = 13,639.24 : x
  2. Step 2: Convert to fraction form
    30,267.40/45,415.74 = 13,639.24/x
  3. Step 3: Cross multiply
    30,267.40x = 45,415.74 × 13,639.24
  4. Step 4: Simplify right side
    30,267.40x = 619,436,177.64
  5. Step 5: Solve for x
    x = 619,436,177.64/30,267.40
  6. Step 6: Final answer
    x = 20,465.46

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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.