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Finding the Fourth Proportional to 13,840.17, 20,752.50 and 4,477.98

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Solution

The fourth proportional to 13,840.17, 20,752.50 and 4,477.98 is: 6,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.17 : 20,752.50 = 4,477.98 : x
  2. Step 2: Convert to fraction form
    13,840.17/20,752.50 = 4,477.98/x
  3. Step 3: Cross multiply
    13,840.17x = 20,752.50 × 4,477.98
  4. Step 4: Simplify right side
    13,840.17x = 92,929,374.56
  5. Step 5: Solve for x
    x = 92,929,374.56/13,840.17
  6. Step 6: Final answer
    x = 6,714.47

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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.