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Finding the Fourth Proportional to 15,066, 22,604.47 and 13,852.22

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Solution

The fourth proportional to 15,066, 22,604.47 and 13,852.22 is: 20,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,066 : 22,604.47 = 13,852.22 : x
  2. Step 2: Convert to fraction form
    15,066/22,604.47 = 13,852.22/x
  3. Step 3: Cross multiply
    15,066x = 22,604.47 × 13,852.22
  4. Step 4: Simplify right side
    15,066x = 313,121,943.77
  5. Step 5: Solve for x
    x = 313,121,943.77/15,066
  6. Step 6: Final answer
    x = 20,783.35

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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.