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Finding the Fourth Proportional to 11,575.32, 17,368.49 and 8,022.93

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Solution

The fourth proportional to 11,575.32, 17,368.49 and 8,022.93 is: 12,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.32 : 17,368.49 = 8,022.93 : x
  2. Step 2: Convert to fraction form
    11,575.32/17,368.49 = 8,022.93/x
  3. Step 3: Cross multiply
    11,575.32x = 17,368.49 × 8,022.93
  4. Step 4: Simplify right side
    11,575.32x = 139,346,179.48
  5. Step 5: Solve for x
    x = 139,346,179.48/11,575.32
  6. Step 6: Final answer
    x = 12,038.21

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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.