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Finding the Fourth Proportional to 15,636.96, 23,442.48 and 5,774.40

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Solution

The fourth proportional to 15,636.96, 23,442.48 and 5,774.40 is: 8,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,636.96 : 23,442.48 = 5,774.40 : x
  2. Step 2: Convert to fraction form
    15,636.96/23,442.48 = 5,774.40/x
  3. Step 3: Cross multiply
    15,636.96x = 23,442.48 × 5,774.40
  4. Step 4: Simplify right side
    15,636.96x = 135,366,256.51
  5. Step 5: Solve for x
    x = 135,366,256.51/15,636.96
  6. Step 6: Final answer
    x = 8,656.81

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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.