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Finding the Fourth Proportional to 16,364.53, 22,583.21 and 9,291.11

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Solution

The fourth proportional to 16,364.53, 22,583.21 and 9,291.11 is: 12,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.53 : 22,583.21 = 9,291.11 : x
  2. Step 2: Convert to fraction form
    16,364.53/22,583.21 = 9,291.11/x
  3. Step 3: Cross multiply
    16,364.53x = 22,583.21 × 9,291.11
  4. Step 4: Simplify right side
    16,364.53x = 209,822,928.89
  5. Step 5: Solve for x
    x = 209,822,928.89/16,364.53
  6. Step 6: Final answer
    x = 12,821.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.