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Finding the Fourth Proportional to 30,221.61, 45,333.57 and 11,498.16

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Solution

The fourth proportional to 30,221.61, 45,333.57 and 11,498.16 is: 17,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221.61 : 45,333.57 = 11,498.16 : x
  2. Step 2: Convert to fraction form
    30,221.61/45,333.57 = 11,498.16/x
  3. Step 3: Cross multiply
    30,221.61x = 45,333.57 × 11,498.16
  4. Step 4: Simplify right side
    30,221.61x = 521,252,641.23
  5. Step 5: Solve for x
    x = 521,252,641.23/30,221.61
  6. Step 6: Final answer
    x = 17,247.68

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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.