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Finding the Fourth Proportional to 12,783.32, 19,157.52 and 9,660.76

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Solution

The fourth proportional to 12,783.32, 19,157.52 and 9,660.76 is: 14,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.32 : 19,157.52 = 9,660.76 : x
  2. Step 2: Convert to fraction form
    12,783.32/19,157.52 = 9,660.76/x
  3. Step 3: Cross multiply
    12,783.32x = 19,157.52 × 9,660.76
  4. Step 4: Simplify right side
    12,783.32x = 185,076,202.92
  5. Step 5: Solve for x
    x = 185,076,202.92/12,783.32
  6. Step 6: Final answer
    x = 14,477.94

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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.