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Finding the Fourth Proportional to 12,946.64, 17,865.93 and 7,281.63

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Solution

The fourth proportional to 12,946.64, 17,865.93 and 7,281.63 is: 10,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.64 : 17,865.93 = 7,281.63 : x
  2. Step 2: Convert to fraction form
    12,946.64/17,865.93 = 7,281.63/x
  3. Step 3: Cross multiply
    12,946.64x = 17,865.93 × 7,281.63
  4. Step 4: Simplify right side
    12,946.64x = 130,093,091.87
  5. Step 5: Solve for x
    x = 130,093,091.87/12,946.64
  6. Step 6: Final answer
    x = 10,048.41

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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.