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Finding the Fourth Proportional to 13,574.59, 18,729.38 and 7,830.65

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Solution

The fourth proportional to 13,574.59, 18,729.38 and 7,830.65 is: 10,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.59 : 18,729.38 = 7,830.65 : x
  2. Step 2: Convert to fraction form
    13,574.59/18,729.38 = 7,830.65/x
  3. Step 3: Cross multiply
    13,574.59x = 18,729.38 × 7,830.65
  4. Step 4: Simplify right side
    13,574.59x = 146,663,285.90
  5. Step 5: Solve for x
    x = 146,663,285.90/13,574.59
  6. Step 6: Final answer
    x = 10,804.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.