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Finding the Fourth Proportional to 19,800.78, 29,669.91 and 7,303.60

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Solution

The fourth proportional to 19,800.78, 29,669.91 and 7,303.60 is: 10,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800.78 : 29,669.91 = 7,303.60 : x
  2. Step 2: Convert to fraction form
    19,800.78/29,669.91 = 7,303.60/x
  3. Step 3: Cross multiply
    19,800.78x = 29,669.91 × 7,303.60
  4. Step 4: Simplify right side
    19,800.78x = 216,697,154.68
  5. Step 5: Solve for x
    x = 216,697,154.68/19,800.78
  6. Step 6: Final answer
    x = 10,943.87

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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.