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Finding the Fourth Proportional to 30,262.64, 45,406.44 and 13,386.78

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Solution

The fourth proportional to 30,262.64, 45,406.44 and 13,386.78 is: 20,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,262.64 : 45,406.44 = 13,386.78 : x
  2. Step 2: Convert to fraction form
    30,262.64/45,406.44 = 13,386.78/x
  3. Step 3: Cross multiply
    30,262.64x = 45,406.44 × 13,386.78
  4. Step 4: Simplify right side
    30,262.64x = 607,846,022.86
  5. Step 5: Solve for x
    x = 607,846,022.86/30,262.64
  6. Step 6: Final answer
    x = 20,085.69

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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.