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Finding the Fourth Proportional to 20,852.14, 28,776 and 11,292.13

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Solution

The fourth proportional to 20,852.14, 28,776 and 11,292.13 is: 15,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852.14 : 28,776 = 11,292.13 : x
  2. Step 2: Convert to fraction form
    20,852.14/28,776 = 11,292.13/x
  3. Step 3: Cross multiply
    20,852.14x = 28,776 × 11,292.13
  4. Step 4: Simplify right side
    20,852.14x = 324,942,332.88
  5. Step 5: Solve for x
    x = 324,942,332.88/20,852.14
  6. Step 6: Final answer
    x = 15,583.16

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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.