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Finding the Fourth Proportional to 15,774.36, 23,661.96 and 5,386

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Solution

The fourth proportional to 15,774.36, 23,661.96 and 5,386 is: 8,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.36 : 23,661.96 = 5,386 : x
  2. Step 2: Convert to fraction form
    15,774.36/23,661.96 = 5,386/x
  3. Step 3: Cross multiply
    15,774.36x = 23,661.96 × 5,386
  4. Step 4: Simplify right side
    15,774.36x = 127,443,316.56
  5. Step 5: Solve for x
    x = 127,443,316.56/15,774.36
  6. Step 6: Final answer
    x = 8,079.14

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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.