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Finding the Fourth Proportional to 13,783.34, 20,651.22 and 7,547.84

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Solution

The fourth proportional to 13,783.34, 20,651.22 and 7,547.84 is: 11,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.34 : 20,651.22 = 7,547.84 : x
  2. Step 2: Convert to fraction form
    13,783.34/20,651.22 = 7,547.84/x
  3. Step 3: Cross multiply
    13,783.34x = 20,651.22 × 7,547.84
  4. Step 4: Simplify right side
    13,783.34x = 155,872,104.36
  5. Step 5: Solve for x
    x = 155,872,104.36/13,783.34
  6. Step 6: Final answer
    x = 11,308.73

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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.