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Finding the Fourth Proportional to 13,782.98, 19,019.76 and 8,475.86

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Solution

The fourth proportional to 13,782.98, 19,019.76 and 8,475.86 is: 11,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.98 : 19,019.76 = 8,475.86 : x
  2. Step 2: Convert to fraction form
    13,782.98/19,019.76 = 8,475.86/x
  3. Step 3: Cross multiply
    13,782.98x = 19,019.76 × 8,475.86
  4. Step 4: Simplify right side
    13,782.98x = 161,208,822.99
  5. Step 5: Solve for x
    x = 161,208,822.99/13,782.98
  6. Step 6: Final answer
    x = 11,696.22

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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.