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Finding the Fourth Proportional to 14,022.52, 19,351 and 7,649.08

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Solution

The fourth proportional to 14,022.52, 19,351 and 7,649.08 is: 10,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.52 : 19,351 = 7,649.08 : x
  2. Step 2: Convert to fraction form
    14,022.52/19,351 = 7,649.08/x
  3. Step 3: Cross multiply
    14,022.52x = 19,351 × 7,649.08
  4. Step 4: Simplify right side
    14,022.52x = 148,017,347.08
  5. Step 5: Solve for x
    x = 148,017,347.08/14,022.52
  6. Step 6: Final answer
    x = 10,555.69

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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.