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Finding the Fourth Proportional to 15,966.74, 23,939.69 and 7,646.49

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Solution

The fourth proportional to 15,966.74, 23,939.69 and 7,646.49 is: 11,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.74 : 23,939.69 = 7,646.49 : x
  2. Step 2: Convert to fraction form
    15,966.74/23,939.69 = 7,646.49/x
  3. Step 3: Cross multiply
    15,966.74x = 23,939.69 × 7,646.49
  4. Step 4: Simplify right side
    15,966.74x = 183,054,561.96
  5. Step 5: Solve for x
    x = 183,054,561.96/15,966.74
  6. Step 6: Final answer
    x = 11,464.74

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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.