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Finding the Fourth Proportional to 17,103.56, 25,633.74 and 14,569.16

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Solution

The fourth proportional to 17,103.56, 25,633.74 and 14,569.16 is: 21,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,103.56 : 25,633.74 = 14,569.16 : x
  2. Step 2: Convert to fraction form
    17,103.56/25,633.74 = 14,569.16/x
  3. Step 3: Cross multiply
    17,103.56x = 25,633.74 × 14,569.16
  4. Step 4: Simplify right side
    17,103.56x = 373,462,059.46
  5. Step 5: Solve for x
    x = 373,462,059.46/17,103.56
  6. Step 6: Final answer
    x = 21,835.34

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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.