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Finding the Fourth Proportional to 14,043.75, 19,380.47 and 7,670.18

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Solution

The fourth proportional to 14,043.75, 19,380.47 and 7,670.18 is: 10,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,043.75 : 19,380.47 = 7,670.18 : x
  2. Step 2: Convert to fraction form
    14,043.75/19,380.47 = 7,670.18/x
  3. Step 3: Cross multiply
    14,043.75x = 19,380.47 × 7,670.18
  4. Step 4: Simplify right side
    14,043.75x = 148,651,693.38
  5. Step 5: Solve for x
    x = 148,651,693.38/14,043.75
  6. Step 6: Final answer
    x = 10,584.90

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Why These Related Problems?

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