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Finding the Fourth Proportional to 13,752.02, 18,977.78 and 7,464.39

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Solution

The fourth proportional to 13,752.02, 18,977.78 and 7,464.39 is: 10,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.02 : 18,977.78 = 7,464.39 : x
  2. Step 2: Convert to fraction form
    13,752.02/18,977.78 = 7,464.39/x
  3. Step 3: Cross multiply
    13,752.02x = 18,977.78 × 7,464.39
  4. Step 4: Simplify right side
    13,752.02x = 141,657,551.25
  5. Step 5: Solve for x
    x = 141,657,551.25/13,752.02
  6. Step 6: Final answer
    x = 10,300.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.