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Finding the Fourth Proportional to 27,670.16, 38,193 and 19,289.36

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Solution

The fourth proportional to 27,670.16, 38,193 and 19,289.36 is: 26,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.16 : 38,193 = 19,289.36 : x
  2. Step 2: Convert to fraction form
    27,670.16/38,193 = 19,289.36/x
  3. Step 3: Cross multiply
    27,670.16x = 38,193 × 19,289.36
  4. Step 4: Simplify right side
    27,670.16x = 736,718,526.48
  5. Step 5: Solve for x
    x = 736,718,526.48/27,670.16
  6. Step 6: Final answer
    x = 26,625.02

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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.