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Finding the Fourth Proportional to 19,203, 28,804.50 and 4,611

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Solution

The fourth proportional to 19,203, 28,804.50 and 4,611 is: 6,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,203 : 28,804.50 = 4,611 : x
  2. Step 2: Convert to fraction form
    19,203/28,804.50 = 4,611/x
  3. Step 3: Cross multiply
    19,203x = 28,804.50 × 4,611
  4. Step 4: Simplify right side
    19,203x = 132,817,549.50
  5. Step 5: Solve for x
    x = 132,817,549.50/19,203
  6. Step 6: Final answer
    x = 6,916.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.