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Finding the Fourth Proportional to 12,952.50, 19,434.90 and 5,559.08

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Solution

The fourth proportional to 12,952.50, 19,434.90 and 5,559.08 is: 8,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.50 : 19,434.90 = 5,559.08 : x
  2. Step 2: Convert to fraction form
    12,952.50/19,434.90 = 5,559.08/x
  3. Step 3: Cross multiply
    12,952.50x = 19,434.90 × 5,559.08
  4. Step 4: Simplify right side
    12,952.50x = 108,040,066.72
  5. Step 5: Solve for x
    x = 108,040,066.72/12,952.50
  6. Step 6: Final answer
    x = 8,341.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.