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Finding the Fourth Proportional to 15,460, 23,190 and 5,071.75

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Solution

The fourth proportional to 15,460, 23,190 and 5,071.75 is: 7,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,460 : 23,190 = 5,071.75 : x
  2. Step 2: Convert to fraction form
    15,460/23,190 = 5,071.75/x
  3. Step 3: Cross multiply
    15,460x = 23,190 × 5,071.75
  4. Step 4: Simplify right side
    15,460x = 117,613,882.50
  5. Step 5: Solve for x
    x = 117,613,882.50/15,460
  6. Step 6: Final answer
    x = 7,607.63

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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.