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Finding the Fourth Proportional to 30,874.20, 42,612.30 and 18,130.20

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Solution

The fourth proportional to 30,874.20, 42,612.30 and 18,130.20 is: 25,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.20 : 42,612.30 = 18,130.20 : x
  2. Step 2: Convert to fraction form
    30,874.20/42,612.30 = 18,130.20/x
  3. Step 3: Cross multiply
    30,874.20x = 42,612.30 × 18,130.20
  4. Step 4: Simplify right side
    30,874.20x = 772,569,521.46
  5. Step 5: Solve for x
    x = 772,569,521.46/30,874.20
  6. Step 6: Final answer
    x = 25,023.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.