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Finding the Fourth Proportional to 27,762.44, 38,312.10 and 15,187.16

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Solution

The fourth proportional to 27,762.44, 38,312.10 and 15,187.16 is: 20,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.44 : 38,312.10 = 15,187.16 : x
  2. Step 2: Convert to fraction form
    27,762.44/38,312.10 = 15,187.16/x
  3. Step 3: Cross multiply
    27,762.44x = 38,312.10 × 15,187.16
  4. Step 4: Simplify right side
    27,762.44x = 581,851,992.64
  5. Step 5: Solve for x
    x = 581,851,992.64/27,762.44
  6. Step 6: Final answer
    x = 20,958.24

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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.