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Finding the Fourth Proportional to 14,157.25, 19,537.41 and 7,870.03

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Solution

The fourth proportional to 14,157.25, 19,537.41 and 7,870.03 is: 10,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.25 : 19,537.41 = 7,870.03 : x
  2. Step 2: Convert to fraction form
    14,157.25/19,537.41 = 7,870.03/x
  3. Step 3: Cross multiply
    14,157.25x = 19,537.41 × 7,870.03
  4. Step 4: Simplify right side
    14,157.25x = 153,760,002.82
  5. Step 5: Solve for x
    x = 153,760,002.82/14,157.25
  6. Step 6: Final answer
    x = 10,860.87

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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.