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Finding the Fourth Proportional to 14,544.90, 21,817.35 and 7,142.72

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Solution

The fourth proportional to 14,544.90, 21,817.35 and 7,142.72 is: 10,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.90 : 21,817.35 = 7,142.72 : x
  2. Step 2: Convert to fraction form
    14,544.90/21,817.35 = 7,142.72/x
  3. Step 3: Cross multiply
    14,544.90x = 21,817.35 × 7,142.72
  4. Step 4: Simplify right side
    14,544.90x = 155,835,113.11
  5. Step 5: Solve for x
    x = 155,835,113.11/14,544.90
  6. Step 6: Final answer
    x = 10,714.07

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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.