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Finding the Fourth Proportional to 22,866.40, 34,290.54 and 9,719.20

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Solution

The fourth proportional to 22,866.40, 34,290.54 and 9,719.20 is: 14,574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866.40 : 34,290.54 = 9,719.20 : x
  2. Step 2: Convert to fraction form
    22,866.40/34,290.54 = 9,719.20/x
  3. Step 3: Cross multiply
    22,866.40x = 34,290.54 × 9,719.20
  4. Step 4: Simplify right side
    22,866.40x = 333,276,616.37
  5. Step 5: Solve for x
    x = 333,276,616.37/22,866.40
  6. Step 6: Final answer
    x = 14,574.95

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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.