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Finding the Fourth Proportional to 15,066, 22,582.80 and 6,734.58

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Solution

The fourth proportional to 15,066, 22,582.80 and 6,734.58 is: 10,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,066 : 22,582.80 = 6,734.58 : x
  2. Step 2: Convert to fraction form
    15,066/22,582.80 = 6,734.58/x
  3. Step 3: Cross multiply
    15,066x = 22,582.80 × 6,734.58
  4. Step 4: Simplify right side
    15,066x = 152,085,673.22
  5. Step 5: Solve for x
    x = 152,085,673.22/15,066
  6. Step 6: Final answer
    x = 10,094.63

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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.