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Finding the Fourth Proportional to 14,019.75, 19,347.26 and 8,430.75

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Solution

The fourth proportional to 14,019.75, 19,347.26 and 8,430.75 is: 11,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.75 : 19,347.26 = 8,430.75 : x
  2. Step 2: Convert to fraction form
    14,019.75/19,347.26 = 8,430.75/x
  3. Step 3: Cross multiply
    14,019.75x = 19,347.26 × 8,430.75
  4. Step 4: Simplify right side
    14,019.75x = 163,111,870.09
  5. Step 5: Solve for x
    x = 163,111,870.09/14,019.75
  6. Step 6: Final answer
    x = 11,634.44

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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.