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Finding the Fourth Proportional to 19,775.58, 29,667.69 and 5,923.50

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Solution

The fourth proportional to 19,775.58, 29,667.69 and 5,923.50 is: 8,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.58 : 29,667.69 = 5,923.50 : x
  2. Step 2: Convert to fraction form
    19,775.58/29,667.69 = 5,923.50/x
  3. Step 3: Cross multiply
    19,775.58x = 29,667.69 × 5,923.50
  4. Step 4: Simplify right side
    19,775.58x = 175,736,561.72
  5. Step 5: Solve for x
    x = 175,736,561.72/19,775.58
  6. Step 6: Final answer
    x = 8,886.54

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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.