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Finding the Fourth Proportional to 13,937.90, 19,218.08 and 9,464.54

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Solution

The fourth proportional to 13,937.90, 19,218.08 and 9,464.54 is: 13,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.90 : 19,218.08 = 9,464.54 : x
  2. Step 2: Convert to fraction form
    13,937.90/19,218.08 = 9,464.54/x
  3. Step 3: Cross multiply
    13,937.90x = 19,218.08 × 9,464.54
  4. Step 4: Simplify right side
    13,937.90x = 181,890,214.45
  5. Step 5: Solve for x
    x = 181,890,214.45/13,937.90
  6. Step 6: Final answer
    x = 13,050.05

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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.