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Finding the Fourth Proportional to 13,783.71, 20,670.61 and 4,775.39

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Solution

The fourth proportional to 13,783.71, 20,670.61 and 4,775.39 is: 7,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.71 : 20,670.61 = 4,775.39 : x
  2. Step 2: Convert to fraction form
    13,783.71/20,670.61 = 4,775.39/x
  3. Step 3: Cross multiply
    13,783.71x = 20,670.61 × 4,775.39
  4. Step 4: Simplify right side
    13,783.71x = 98,710,224.29
  5. Step 5: Solve for x
    x = 98,710,224.29/13,783.71
  6. Step 6: Final answer
    x = 7,161.37

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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.