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Finding the Fourth Proportional to 26,907.71, 40,352.88 and 9,808.16

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Solution

The fourth proportional to 26,907.71, 40,352.88 and 9,808.16 is: 14,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,907.71 : 40,352.88 = 9,808.16 : x
  2. Step 2: Convert to fraction form
    26,907.71/40,352.88 = 9,808.16/x
  3. Step 3: Cross multiply
    26,907.71x = 40,352.88 × 9,808.16
  4. Step 4: Simplify right side
    26,907.71x = 395,787,503.50
  5. Step 5: Solve for x
    x = 395,787,503.50/26,907.71
  6. Step 6: Final answer
    x = 14,709.07

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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.