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Finding the Fourth Proportional to 20,820.36, 28,723.92 and 12,848.76

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Solution

The fourth proportional to 20,820.36, 28,723.92 and 12,848.76 is: 17,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820.36 : 28,723.92 = 12,848.76 : x
  2. Step 2: Convert to fraction form
    20,820.36/28,723.92 = 12,848.76/x
  3. Step 3: Cross multiply
    20,820.36x = 28,723.92 × 12,848.76
  4. Step 4: Simplify right side
    20,820.36x = 369,066,754.34
  5. Step 5: Solve for x
    x = 369,066,754.34/20,820.36
  6. Step 6: Final answer
    x = 17,726.24

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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.