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Finding the Fourth Proportional to 14,188.38, 19,584.36 and 9,710.46

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Solution

The fourth proportional to 14,188.38, 19,584.36 and 9,710.46 is: 13,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.38 : 19,584.36 = 9,710.46 : x
  2. Step 2: Convert to fraction form
    14,188.38/19,584.36 = 9,710.46/x
  3. Step 3: Cross multiply
    14,188.38x = 19,584.36 × 9,710.46
  4. Step 4: Simplify right side
    14,188.38x = 190,173,144.41
  5. Step 5: Solve for x
    x = 190,173,144.41/14,188.38
  6. Step 6: Final answer
    x = 13,403.44

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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.