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Finding the Fourth Proportional to 14,954.60, 22,431.70 and 4,566.40

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Solution

The fourth proportional to 14,954.60, 22,431.70 and 4,566.40 is: 6,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954.60 : 22,431.70 = 4,566.40 : x
  2. Step 2: Convert to fraction form
    14,954.60/22,431.70 = 4,566.40/x
  3. Step 3: Cross multiply
    14,954.60x = 22,431.70 × 4,566.40
  4. Step 4: Simplify right side
    14,954.60x = 102,432,114.88
  5. Step 5: Solve for x
    x = 102,432,114.88/14,954.60
  6. Step 6: Final answer
    x = 6,849.54

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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.