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Finding the Fourth Proportional to 15,767.58, 23,653.53 and 7,002.30

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Solution

The fourth proportional to 15,767.58, 23,653.53 and 7,002.30 is: 10,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.58 : 23,653.53 = 7,002.30 : x
  2. Step 2: Convert to fraction form
    15,767.58/23,653.53 = 7,002.30/x
  3. Step 3: Cross multiply
    15,767.58x = 23,653.53 × 7,002.30
  4. Step 4: Simplify right side
    15,767.58x = 165,629,113.12
  5. Step 5: Solve for x
    x = 165,629,113.12/15,767.58
  6. Step 6: Final answer
    x = 10,504.41

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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.