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Finding the Fourth Proportional to 13,201.80, 19,784.70 and 8,507.40

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Solution

The fourth proportional to 13,201.80, 19,784.70 and 8,507.40 is: 12,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.80 : 19,784.70 = 8,507.40 : x
  2. Step 2: Convert to fraction form
    13,201.80/19,784.70 = 8,507.40/x
  3. Step 3: Cross multiply
    13,201.80x = 19,784.70 × 8,507.40
  4. Step 4: Simplify right side
    13,201.80x = 168,316,356.78
  5. Step 5: Solve for x
    x = 168,316,356.78/13,201.80
  6. Step 6: Final answer
    x = 12,749.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.