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Finding the Fourth Proportional to 20,477.74, 28,262 and 11,526.99

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Solution

The fourth proportional to 20,477.74, 28,262 and 11,526.99 is: 15,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.74 : 28,262 = 11,526.99 : x
  2. Step 2: Convert to fraction form
    20,477.74/28,262 = 11,526.99/x
  3. Step 3: Cross multiply
    20,477.74x = 28,262 × 11,526.99
  4. Step 4: Simplify right side
    20,477.74x = 325,775,791.38
  5. Step 5: Solve for x
    x = 325,775,791.38/20,477.74
  6. Step 6: Final answer
    x = 15,908.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.