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Finding the Fourth Proportional to 30,393.34, 45,595.91 and 11,672

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Solution

The fourth proportional to 30,393.34, 45,595.91 and 11,672 is: 17,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,393.34 : 45,595.91 = 11,672 : x
  2. Step 2: Convert to fraction form
    30,393.34/45,595.91 = 11,672/x
  3. Step 3: Cross multiply
    30,393.34x = 45,595.91 × 11,672
  4. Step 4: Simplify right side
    30,393.34x = 532,195,461.52
  5. Step 5: Solve for x
    x = 532,195,461.52/30,393.34
  6. Step 6: Final answer
    x = 17,510.27

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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.