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Finding the Fourth Proportional to 12,771.09, 17,624.16 and 7,466.01

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Solution

The fourth proportional to 12,771.09, 17,624.16 and 7,466.01 is: 10,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.09 : 17,624.16 = 7,466.01 : x
  2. Step 2: Convert to fraction form
    12,771.09/17,624.16 = 7,466.01/x
  3. Step 3: Cross multiply
    12,771.09x = 17,624.16 × 7,466.01
  4. Step 4: Simplify right side
    12,771.09x = 131,582,154.80
  5. Step 5: Solve for x
    x = 131,582,154.80/12,771.09
  6. Step 6: Final answer
    x = 10,303.13

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