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Finding the Fourth Proportional to 19,783.54, 29,533.92 and 19,091.30

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Solution

The fourth proportional to 19,783.54, 29,533.92 and 19,091.30 is: 28,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.54 : 29,533.92 = 19,091.30 : x
  2. Step 2: Convert to fraction form
    19,783.54/29,533.92 = 19,091.30/x
  3. Step 3: Cross multiply
    19,783.54x = 29,533.92 × 19,091.30
  4. Step 4: Simplify right side
    19,783.54x = 563,840,707.63
  5. Step 5: Solve for x
    x = 563,840,707.63/19,783.54
  6. Step 6: Final answer
    x = 28,500.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.