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Finding the Fourth Proportional to 27,146.19, 40,738.53 and 12,357.02

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Solution

The fourth proportional to 27,146.19, 40,738.53 and 12,357.02 is: 18,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,146.19 : 40,738.53 = 12,357.02 : x
  2. Step 2: Convert to fraction form
    27,146.19/40,738.53 = 12,357.02/x
  3. Step 3: Cross multiply
    27,146.19x = 40,738.53 × 12,357.02
  4. Step 4: Simplify right side
    27,146.19x = 503,406,626.29
  5. Step 5: Solve for x
    x = 503,406,626.29/27,146.19
  6. Step 6: Final answer
    x = 18,544.28

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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.