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Finding the Fourth Proportional to 19,941.34, 29,923.64 and 7,470.12

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Solution

The fourth proportional to 19,941.34, 29,923.64 and 7,470.12 is: 11,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,941.34 : 29,923.64 = 7,470.12 : x
  2. Step 2: Convert to fraction form
    19,941.34/29,923.64 = 7,470.12/x
  3. Step 3: Cross multiply
    19,941.34x = 29,923.64 × 7,470.12
  4. Step 4: Simplify right side
    19,941.34x = 223,533,271.38
  5. Step 5: Solve for x
    x = 223,533,271.38/19,941.34
  6. Step 6: Final answer
    x = 11,209.54

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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.