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Finding the Fourth Proportional to 12,811, 19,199.76 and 6,565.72

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Solution

The fourth proportional to 12,811, 19,199.76 and 6,565.72 is: 9,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811 : 19,199.76 = 6,565.72 : x
  2. Step 2: Convert to fraction form
    12,811/19,199.76 = 6,565.72/x
  3. Step 3: Cross multiply
    12,811x = 19,199.76 × 6,565.72
  4. Step 4: Simplify right side
    12,811x = 126,060,248.23
  5. Step 5: Solve for x
    x = 126,060,248.23/12,811
  6. Step 6: Final answer
    x = 9,840.00

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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.