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Finding the Fourth Proportional to 12,904.04, 19,356.08 and 4,139.66

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Solution

The fourth proportional to 12,904.04, 19,356.08 and 4,139.66 is: 6,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.04 : 19,356.08 = 4,139.66 : x
  2. Step 2: Convert to fraction form
    12,904.04/19,356.08 = 4,139.66/x
  3. Step 3: Cross multiply
    12,904.04x = 19,356.08 × 4,139.66
  4. Step 4: Simplify right side
    12,904.04x = 80,127,472.65
  5. Step 5: Solve for x
    x = 80,127,472.65/12,904.04
  6. Step 6: Final answer
    x = 6,209.49

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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.