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Finding the Fourth Proportional to 16,526, 22,825.32 and 11,211.60

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Solution

The fourth proportional to 16,526, 22,825.32 and 11,211.60 is: 15,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526 : 22,825.32 = 11,211.60 : x
  2. Step 2: Convert to fraction form
    16,526/22,825.32 = 11,211.60/x
  3. Step 3: Cross multiply
    16,526x = 22,825.32 × 11,211.60
  4. Step 4: Simplify right side
    16,526x = 255,908,357.71
  5. Step 5: Solve for x
    x = 255,908,357.71/16,526
  6. Step 6: Final answer
    x = 15,485.20

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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.