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Finding the Fourth Proportional to 13,237.42, 19,859 and 3,878.22

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Solution

The fourth proportional to 13,237.42, 19,859 and 3,878.22 is: 5,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.42 : 19,859 = 3,878.22 : x
  2. Step 2: Convert to fraction form
    13,237.42/19,859 = 3,878.22/x
  3. Step 3: Cross multiply
    13,237.42x = 19,859 × 3,878.22
  4. Step 4: Simplify right side
    13,237.42x = 77,017,570.98
  5. Step 5: Solve for x
    x = 77,017,570.98/13,237.42
  6. Step 6: Final answer
    x = 5,818.17

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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.