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Finding the Fourth Proportional to 12,955.77, 19,421.78 and 4,633.83

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Solution

The fourth proportional to 12,955.77, 19,421.78 and 4,633.83 is: 6,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,955.77 : 19,421.78 = 4,633.83 : x
  2. Step 2: Convert to fraction form
    12,955.77/19,421.78 = 4,633.83/x
  3. Step 3: Cross multiply
    12,955.77x = 19,421.78 × 4,633.83
  4. Step 4: Simplify right side
    12,955.77x = 89,997,203.65
  5. Step 5: Solve for x
    x = 89,997,203.65/12,955.77
  6. Step 6: Final answer
    x = 6,946.50

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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.