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Finding the Fourth Proportional to 14,284.35, 21,430.89 and 6,393.49

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Solution

The fourth proportional to 14,284.35, 21,430.89 and 6,393.49 is: 9,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.35 : 21,430.89 = 6,393.49 : x
  2. Step 2: Convert to fraction form
    14,284.35/21,430.89 = 6,393.49/x
  3. Step 3: Cross multiply
    14,284.35x = 21,430.89 × 6,393.49
  4. Step 4: Simplify right side
    14,284.35x = 137,018,127.33
  5. Step 5: Solve for x
    x = 137,018,127.33/14,284.35
  6. Step 6: Final answer
    x = 9,592.18

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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.