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Finding the Fourth Proportional to 14,840.40, 22,257 and 4,977.12

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Solution

The fourth proportional to 14,840.40, 22,257 and 4,977.12 is: 7,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,840.40 : 22,257 = 4,977.12 : x
  2. Step 2: Convert to fraction form
    14,840.40/22,257 = 4,977.12/x
  3. Step 3: Cross multiply
    14,840.40x = 22,257 × 4,977.12
  4. Step 4: Simplify right side
    14,840.40x = 110,775,759.84
  5. Step 5: Solve for x
    x = 110,775,759.84/14,840.40
  6. Step 6: Final answer
    x = 7,464.47

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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.