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Finding the Fourth Proportional to 27,515.32, 37,971.06 and 15,578.32

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Solution

The fourth proportional to 27,515.32, 37,971.06 and 15,578.32 is: 21,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,515.32 : 37,971.06 = 15,578.32 : x
  2. Step 2: Convert to fraction form
    27,515.32/37,971.06 = 15,578.32/x
  3. Step 3: Cross multiply
    27,515.32x = 37,971.06 × 15,578.32
  4. Step 4: Simplify right side
    27,515.32x = 591,525,323.42
  5. Step 5: Solve for x
    x = 591,525,323.42/27,515.32
  6. Step 6: Final answer
    x = 21,498.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.