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Finding the Fourth Proportional to 15,311.85, 22,909.81 and 9,075.21

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Solution

The fourth proportional to 15,311.85, 22,909.81 and 9,075.21 is: 13,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.85 : 22,909.81 = 9,075.21 : x
  2. Step 2: Convert to fraction form
    15,311.85/22,909.81 = 9,075.21/x
  3. Step 3: Cross multiply
    15,311.85x = 22,909.81 × 9,075.21
  4. Step 4: Simplify right side
    15,311.85x = 207,911,336.81
  5. Step 5: Solve for x
    x = 207,911,336.81/15,311.85
  6. Step 6: Final answer
    x = 13,578.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.