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Finding the Fourth Proportional to 14,533.20, 21,751.20 and 12,783.60

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Solution

The fourth proportional to 14,533.20, 21,751.20 and 12,783.60 is: 19,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.20 : 21,751.20 = 12,783.60 : x
  2. Step 2: Convert to fraction form
    14,533.20/21,751.20 = 12,783.60/x
  3. Step 3: Cross multiply
    14,533.20x = 21,751.20 × 12,783.60
  4. Step 4: Simplify right side
    14,533.20x = 278,058,640.32
  5. Step 5: Solve for x
    x = 278,058,640.32/14,533.20
  6. Step 6: Final answer
    x = 19,132.65

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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.