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Finding the Fourth Proportional to 13,860, 20,783.52 and 4,619.52

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Solution

The fourth proportional to 13,860, 20,783.52 and 4,619.52 is: 6,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 20,783.52 = 4,619.52 : x
  2. Step 2: Convert to fraction form
    13,860/20,783.52 = 4,619.52/x
  3. Step 3: Cross multiply
    13,860x = 20,783.52 × 4,619.52
  4. Step 4: Simplify right side
    13,860x = 96,009,886.31
  5. Step 5: Solve for x
    x = 96,009,886.31/13,860
  6. Step 6: Final answer
    x = 6,927.12

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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.