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Finding the Fourth Proportional to 19,710, 27,200.30 and 10,758.33

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Solution

The fourth proportional to 19,710, 27,200.30 and 10,758.33 is: 14,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710 : 27,200.30 = 10,758.33 : x
  2. Step 2: Convert to fraction form
    19,710/27,200.30 = 10,758.33/x
  3. Step 3: Cross multiply
    19,710x = 27,200.30 × 10,758.33
  4. Step 4: Simplify right side
    19,710x = 292,629,749.71
  5. Step 5: Solve for x
    x = 292,629,749.71/19,710
  6. Step 6: Final answer
    x = 14,846.77

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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.