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Finding the Fourth Proportional to 13,157.64, 19,726.20 and 6,580.44

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Solution

The fourth proportional to 13,157.64, 19,726.20 and 6,580.44 is: 9,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.64 : 19,726.20 = 6,580.44 : x
  2. Step 2: Convert to fraction form
    13,157.64/19,726.20 = 6,580.44/x
  3. Step 3: Cross multiply
    13,157.64x = 19,726.20 × 6,580.44
  4. Step 4: Simplify right side
    13,157.64x = 129,807,075.53
  5. Step 5: Solve for x
    x = 129,807,075.53/13,157.64
  6. Step 6: Final answer
    x = 9,865.53

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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.