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Finding the Fourth Proportional to 14,203.76, 19,585.80 and 9,669.38

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Solution

The fourth proportional to 14,203.76, 19,585.80 and 9,669.38 is: 13,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.76 : 19,585.80 = 9,669.38 : x
  2. Step 2: Convert to fraction form
    14,203.76/19,585.80 = 9,669.38/x
  3. Step 3: Cross multiply
    14,203.76x = 19,585.80 × 9,669.38
  4. Step 4: Simplify right side
    14,203.76x = 189,382,444.88
  5. Step 5: Solve for x
    x = 189,382,444.88/14,203.76
  6. Step 6: Final answer
    x = 13,333.27

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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.