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Finding the Fourth Proportional to 13,611.98, 18,784.74 and 7,643.30

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Solution

The fourth proportional to 13,611.98, 18,784.74 and 7,643.30 is: 10,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.98 : 18,784.74 = 7,643.30 : x
  2. Step 2: Convert to fraction form
    13,611.98/18,784.74 = 7,643.30/x
  3. Step 3: Cross multiply
    13,611.98x = 18,784.74 × 7,643.30
  4. Step 4: Simplify right side
    13,611.98x = 143,577,403.24
  5. Step 5: Solve for x
    x = 143,577,403.24/13,611.98
  6. Step 6: Final answer
    x = 10,547.87

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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.