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Finding the Fourth Proportional to 13,038.91, 19,511.64 and 11,289.95

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Solution

The fourth proportional to 13,038.91, 19,511.64 and 11,289.95 is: 16,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.91 : 19,511.64 = 11,289.95 : x
  2. Step 2: Convert to fraction form
    13,038.91/19,511.64 = 11,289.95/x
  3. Step 3: Cross multiply
    13,038.91x = 19,511.64 × 11,289.95
  4. Step 4: Simplify right side
    13,038.91x = 220,285,440.02
  5. Step 5: Solve for x
    x = 220,285,440.02/13,038.91
  6. Step 6: Final answer
    x = 16,894.47

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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.