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Finding the Fourth Proportional to 18,946.51, 26,146.80 and 10,449

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Solution

The fourth proportional to 18,946.51, 26,146.80 and 10,449 is: 14,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,946.51 : 26,146.80 = 10,449 : x
  2. Step 2: Convert to fraction form
    18,946.51/26,146.80 = 10,449/x
  3. Step 3: Cross multiply
    18,946.51x = 26,146.80 × 10,449
  4. Step 4: Simplify right side
    18,946.51x = 273,207,913.20
  5. Step 5: Solve for x
    x = 273,207,913.20/18,946.51
  6. Step 6: Final answer
    x = 14,419.96

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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.