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Finding the Fourth Proportional to 19,519.28, 29,280.12 and 7,830.98

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Solution

The fourth proportional to 19,519.28, 29,280.12 and 7,830.98 is: 11,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,519.28 : 29,280.12 = 7,830.98 : x
  2. Step 2: Convert to fraction form
    19,519.28/29,280.12 = 7,830.98/x
  3. Step 3: Cross multiply
    19,519.28x = 29,280.12 × 7,830.98
  4. Step 4: Simplify right side
    19,519.28x = 229,292,034.12
  5. Step 5: Solve for x
    x = 229,292,034.12/19,519.28
  6. Step 6: Final answer
    x = 11,746.95

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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.