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Finding the Fourth Proportional to 13,577.76, 20,356.92 and 5,782.32

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Solution

The fourth proportional to 13,577.76, 20,356.92 and 5,782.32 is: 8,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.76 : 20,356.92 = 5,782.32 : x
  2. Step 2: Convert to fraction form
    13,577.76/20,356.92 = 5,782.32/x
  3. Step 3: Cross multiply
    13,577.76x = 20,356.92 × 5,782.32
  4. Step 4: Simplify right side
    13,577.76x = 117,710,225.65
  5. Step 5: Solve for x
    x = 117,710,225.65/13,577.76
  6. Step 6: Final answer
    x = 8,669.34

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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.