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Finding the Fourth Proportional to 13,611.71, 18,783.36 and 7,643.50

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Solution

The fourth proportional to 13,611.71, 18,783.36 and 7,643.50 is: 10,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.71 : 18,783.36 = 7,643.50 : x
  2. Step 2: Convert to fraction form
    13,611.71/18,783.36 = 7,643.50/x
  3. Step 3: Cross multiply
    13,611.71x = 18,783.36 × 7,643.50
  4. Step 4: Simplify right side
    13,611.71x = 143,570,565.20
  5. Step 5: Solve for x
    x = 143,570,565.20/13,611.71
  6. Step 6: Final answer
    x = 10,547.58

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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.