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Finding the Fourth Proportional to 14,357.10, 19,812.82 and 7,983.50

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Solution

The fourth proportional to 14,357.10, 19,812.82 and 7,983.50 is: 11,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.10 : 19,812.82 = 7,983.50 : x
  2. Step 2: Convert to fraction form
    14,357.10/19,812.82 = 7,983.50/x
  3. Step 3: Cross multiply
    14,357.10x = 19,812.82 × 7,983.50
  4. Step 4: Simplify right side
    14,357.10x = 158,175,648.47
  5. Step 5: Solve for x
    x = 158,175,648.47/14,357.10
  6. Step 6: Final answer
    x = 11,017.24

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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.