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Finding the Fourth Proportional to 13,099.83, 19,633.32 and 6,527.89

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Solution

The fourth proportional to 13,099.83, 19,633.32 and 6,527.89 is: 9,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.83 : 19,633.32 = 6,527.89 : x
  2. Step 2: Convert to fraction form
    13,099.83/19,633.32 = 6,527.89/x
  3. Step 3: Cross multiply
    13,099.83x = 19,633.32 × 6,527.89
  4. Step 4: Simplify right side
    13,099.83x = 128,164,177.84
  5. Step 5: Solve for x
    x = 128,164,177.84/13,099.83
  6. Step 6: Final answer
    x = 9,783.65

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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.