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Finding the Fourth Proportional to 14,307.83, 19,744.56 and 7,847.45

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Solution

The fourth proportional to 14,307.83, 19,744.56 and 7,847.45 is: 10,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.83 : 19,744.56 = 7,847.45 : x
  2. Step 2: Convert to fraction form
    14,307.83/19,744.56 = 7,847.45/x
  3. Step 3: Cross multiply
    14,307.83x = 19,744.56 × 7,847.45
  4. Step 4: Simplify right side
    14,307.83x = 154,944,348.65
  5. Step 5: Solve for x
    x = 154,944,348.65/14,307.83
  6. Step 6: Final answer
    x = 10,829.34

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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.