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Finding the Fourth Proportional to 19,316.96, 28,972.01 and 8,784.50

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Solution

The fourth proportional to 19,316.96, 28,972.01 and 8,784.50 is: 13,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,316.96 : 28,972.01 = 8,784.50 : x
  2. Step 2: Convert to fraction form
    19,316.96/28,972.01 = 8,784.50/x
  3. Step 3: Cross multiply
    19,316.96x = 28,972.01 × 8,784.50
  4. Step 4: Simplify right side
    19,316.96x = 254,504,433.06
  5. Step 5: Solve for x
    x = 254,504,433.06/19,316.96
  6. Step 6: Final answer
    x = 13,175.18

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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.