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Finding the Fourth Proportional to 30,268.40, 45,417.24 and 13,640.24

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Solution

The fourth proportional to 30,268.40, 45,417.24 and 13,640.24 is: 20,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.40 : 45,417.24 = 13,640.24 : x
  2. Step 2: Convert to fraction form
    30,268.40/45,417.24 = 13,640.24/x
  3. Step 3: Cross multiply
    30,268.40x = 45,417.24 × 13,640.24
  4. Step 4: Simplify right side
    30,268.40x = 619,502,053.74
  5. Step 5: Solve for x
    x = 619,502,053.74/30,268.40
  6. Step 6: Final answer
    x = 20,466.96

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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.