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Finding the Fourth Proportional to 12,946.50, 17,844.30 and 10,701.18

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Solution

The fourth proportional to 12,946.50, 17,844.30 and 10,701.18 is: 14,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.50 : 17,844.30 = 10,701.18 : x
  2. Step 2: Convert to fraction form
    12,946.50/17,844.30 = 10,701.18/x
  3. Step 3: Cross multiply
    12,946.50x = 17,844.30 × 10,701.18
  4. Step 4: Simplify right side
    12,946.50x = 190,955,066.27
  5. Step 5: Solve for x
    x = 190,955,066.27/12,946.50
  6. Step 6: Final answer
    x = 14,749.55

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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.