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Finding the Fourth Proportional to 19,414.08, 29,071.71 and 12,830.40

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Solution

The fourth proportional to 19,414.08, 29,071.71 and 12,830.40 is: 19,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414.08 : 29,071.71 = 12,830.40 : x
  2. Step 2: Convert to fraction form
    19,414.08/29,071.71 = 12,830.40/x
  3. Step 3: Cross multiply
    19,414.08x = 29,071.71 × 12,830.40
  4. Step 4: Simplify right side
    19,414.08x = 373,001,667.98
  5. Step 5: Solve for x
    x = 373,001,667.98/19,414.08
  6. Step 6: Final answer
    x = 19,212.95

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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.