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Finding the Fourth Proportional to 14,278.17, 19,710.78 and 9,506.07

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Solution

The fourth proportional to 14,278.17, 19,710.78 and 9,506.07 is: 13,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.17 : 19,710.78 = 9,506.07 : x
  2. Step 2: Convert to fraction form
    14,278.17/19,710.78 = 9,506.07/x
  3. Step 3: Cross multiply
    14,278.17x = 19,710.78 × 9,506.07
  4. Step 4: Simplify right side
    14,278.17x = 187,372,054.43
  5. Step 5: Solve for x
    x = 187,372,054.43/14,278.17
  6. Step 6: Final answer
    x = 13,122.97

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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.