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Finding the Fourth Proportional to 14,354.78, 19,796.46 and 9,507.50

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Solution

The fourth proportional to 14,354.78, 19,796.46 and 9,507.50 is: 13,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.78 : 19,796.46 = 9,507.50 : x
  2. Step 2: Convert to fraction form
    14,354.78/19,796.46 = 9,507.50/x
  3. Step 3: Cross multiply
    14,354.78x = 19,796.46 × 9,507.50
  4. Step 4: Simplify right side
    14,354.78x = 188,214,843.45
  5. Step 5: Solve for x
    x = 188,214,843.45/14,354.78
  6. Step 6: Final answer
    x = 13,111.65

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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.