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Finding the Fourth Proportional to 30,300.16, 45,422.12 and 13,424.20

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Solution

The fourth proportional to 30,300.16, 45,422.12 and 13,424.20 is: 20,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300.16 : 45,422.12 = 13,424.20 : x
  2. Step 2: Convert to fraction form
    30,300.16/45,422.12 = 13,424.20/x
  3. Step 3: Cross multiply
    30,300.16x = 45,422.12 × 13,424.20
  4. Step 4: Simplify right side
    30,300.16x = 609,755,623.30
  5. Step 5: Solve for x
    x = 609,755,623.30/30,300.16
  6. Step 6: Final answer
    x = 20,123.84

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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.