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Finding the Fourth Proportional to 15,802.20, 23,714.10 and 11,423.40

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Solution

The fourth proportional to 15,802.20, 23,714.10 and 11,423.40 is: 17,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.20 : 23,714.10 = 11,423.40 : x
  2. Step 2: Convert to fraction form
    15,802.20/23,714.10 = 11,423.40/x
  3. Step 3: Cross multiply
    15,802.20x = 23,714.10 × 11,423.40
  4. Step 4: Simplify right side
    15,802.20x = 270,895,649.94
  5. Step 5: Solve for x
    x = 270,895,649.94/15,802.20
  6. Step 6: Final answer
    x = 17,142.91

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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.