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Finding the Fourth Proportional to 13,011, 19,516.50 and 4,803

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Solution

The fourth proportional to 13,011, 19,516.50 and 4,803 is: 7,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011 : 19,516.50 = 4,803 : x
  2. Step 2: Convert to fraction form
    13,011/19,516.50 = 4,803/x
  3. Step 3: Cross multiply
    13,011x = 19,516.50 × 4,803
  4. Step 4: Simplify right side
    13,011x = 93,737,749.50
  5. Step 5: Solve for x
    x = 93,737,749.50/13,011
  6. Step 6: Final answer
    x = 7,204.50

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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.