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Finding the Fourth Proportional to 12,830.90, 19,247.61 and 5,332.91

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Solution

The fourth proportional to 12,830.90, 19,247.61 and 5,332.91 is: 7,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.90 : 19,247.61 = 5,332.91 : x
  2. Step 2: Convert to fraction form
    12,830.90/19,247.61 = 5,332.91/x
  3. Step 3: Cross multiply
    12,830.90x = 19,247.61 × 5,332.91
  4. Step 4: Simplify right side
    12,830.90x = 102,645,771.85
  5. Step 5: Solve for x
    x = 102,645,771.85/12,830.90
  6. Step 6: Final answer
    x = 7,999.89

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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.