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Finding the Fourth Proportional to 27,744.32, 41,615.16 and 12,948.08

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Solution

The fourth proportional to 27,744.32, 41,615.16 and 12,948.08 is: 19,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.32 : 41,615.16 = 12,948.08 : x
  2. Step 2: Convert to fraction form
    27,744.32/41,615.16 = 12,948.08/x
  3. Step 3: Cross multiply
    27,744.32x = 41,615.16 × 12,948.08
  4. Step 4: Simplify right side
    27,744.32x = 538,836,420.89
  5. Step 5: Solve for x
    x = 538,836,420.89/27,744.32
  6. Step 6: Final answer
    x = 19,421.50

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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.