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Finding the Fourth Proportional to 27,178, 40,779.36 and 16,106.56

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Solution

The fourth proportional to 27,178, 40,779.36 and 16,106.56 is: 24,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178 : 40,779.36 = 16,106.56 : x
  2. Step 2: Convert to fraction form
    27,178/40,779.36 = 16,106.56/x
  3. Step 3: Cross multiply
    27,178x = 40,779.36 × 16,106.56
  4. Step 4: Simplify right side
    27,178x = 656,815,208.60
  5. Step 5: Solve for x
    x = 656,815,208.60/27,178
  6. Step 6: Final answer
    x = 24,167.16

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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.