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Finding the Fourth Proportional to 20,574, 28,392.12 and 11,142.63

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Solution

The fourth proportional to 20,574, 28,392.12 and 11,142.63 is: 15,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574 : 28,392.12 = 11,142.63 : x
  2. Step 2: Convert to fraction form
    20,574/28,392.12 = 11,142.63/x
  3. Step 3: Cross multiply
    20,574x = 28,392.12 × 11,142.63
  4. Step 4: Simplify right side
    20,574x = 316,362,888.08
  5. Step 5: Solve for x
    x = 316,362,888.08/20,574
  6. Step 6: Final answer
    x = 15,376.83

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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.