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Finding the Fourth Proportional to 13,129.94, 19,703.66 and 6,810.64

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Solution

The fourth proportional to 13,129.94, 19,703.66 and 6,810.64 is: 10,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.94 : 19,703.66 = 6,810.64 : x
  2. Step 2: Convert to fraction form
    13,129.94/19,703.66 = 6,810.64/x
  3. Step 3: Cross multiply
    13,129.94x = 19,703.66 × 6,810.64
  4. Step 4: Simplify right side
    13,129.94x = 134,194,601.23
  5. Step 5: Solve for x
    x = 134,194,601.23/13,129.94
  6. Step 6: Final answer
    x = 10,220.50

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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.