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Finding the Fourth Proportional to 12,033, 16,605.54 and 7,316.37

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Solution

The fourth proportional to 12,033, 16,605.54 and 7,316.37 is: 10,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033 : 16,605.54 = 7,316.37 : x
  2. Step 2: Convert to fraction form
    12,033/16,605.54 = 7,316.37/x
  3. Step 3: Cross multiply
    12,033x = 16,605.54 × 7,316.37
  4. Step 4: Simplify right side
    12,033x = 121,492,274.69
  5. Step 5: Solve for x
    x = 121,492,274.69/12,033
  6. Step 6: Final answer
    x = 10,096.59

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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.