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Finding the Fourth Proportional to 12,804.90, 17,671.42 and 9,655.62

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Solution

The fourth proportional to 12,804.90, 17,671.42 and 9,655.62 is: 13,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.90 : 17,671.42 = 9,655.62 : x
  2. Step 2: Convert to fraction form
    12,804.90/17,671.42 = 9,655.62/x
  3. Step 3: Cross multiply
    12,804.90x = 17,671.42 × 9,655.62
  4. Step 4: Simplify right side
    12,804.90x = 170,628,516.38
  5. Step 5: Solve for x
    x = 170,628,516.38/12,804.90
  6. Step 6: Final answer
    x = 13,325.25

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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.