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Finding the Fourth Proportional to 13,289.65, 19,923.16 and 5,890.07

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Solution

The fourth proportional to 13,289.65, 19,923.16 and 5,890.07 is: 8,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289.65 : 19,923.16 = 5,890.07 : x
  2. Step 2: Convert to fraction form
    13,289.65/19,923.16 = 5,890.07/x
  3. Step 3: Cross multiply
    13,289.65x = 19,923.16 × 5,890.07
  4. Step 4: Simplify right side
    13,289.65x = 117,348,807.02
  5. Step 5: Solve for x
    x = 117,348,807.02/13,289.65
  6. Step 6: Final answer
    x = 8,830.09

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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.