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Finding the Fourth Proportional to 14,842.35, 22,278.87 and 9,946.20

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Solution

The fourth proportional to 14,842.35, 22,278.87 and 9,946.20 is: 14,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.35 : 22,278.87 = 9,946.20 : x
  2. Step 2: Convert to fraction form
    14,842.35/22,278.87 = 9,946.20/x
  3. Step 3: Cross multiply
    14,842.35x = 22,278.87 × 9,946.20
  4. Step 4: Simplify right side
    14,842.35x = 221,590,180.34
  5. Step 5: Solve for x
    x = 221,590,180.34/14,842.35
  6. Step 6: Final answer
    x = 14,929.59

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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.