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Finding the Fourth Proportional to 14,357, 19,812.30 and 7,983.61

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Solution

The fourth proportional to 14,357, 19,812.30 and 7,983.61 is: 11,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357 : 19,812.30 = 7,983.61 : x
  2. Step 2: Convert to fraction form
    14,357/19,812.30 = 7,983.61/x
  3. Step 3: Cross multiply
    14,357x = 19,812.30 × 7,983.61
  4. Step 4: Simplify right side
    14,357x = 158,173,676.40
  5. Step 5: Solve for x
    x = 158,173,676.40/14,357
  6. Step 6: Final answer
    x = 11,017.18

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