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Finding the Fourth Proportional to 19,096.34, 28,646.04 and 7,255.78

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Solution

The fourth proportional to 19,096.34, 28,646.04 and 7,255.78 is: 10,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096.34 : 28,646.04 = 7,255.78 : x
  2. Step 2: Convert to fraction form
    19,096.34/28,646.04 = 7,255.78/x
  3. Step 3: Cross multiply
    19,096.34x = 28,646.04 × 7,255.78
  4. Step 4: Simplify right side
    19,096.34x = 207,849,292.50
  5. Step 5: Solve for x
    x = 207,849,292.50/19,096.34
  6. Step 6: Final answer
    x = 10,884.25

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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.