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Finding the Fourth Proportional to 17,038.36, 23,506.38 and 12,572.84

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Solution

The fourth proportional to 17,038.36, 23,506.38 and 12,572.84 is: 17,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.36 : 23,506.38 = 12,572.84 : x
  2. Step 2: Convert to fraction form
    17,038.36/23,506.38 = 12,572.84/x
  3. Step 3: Cross multiply
    17,038.36x = 23,506.38 × 12,572.84
  4. Step 4: Simplify right side
    17,038.36x = 295,541,954.72
  5. Step 5: Solve for x
    x = 295,541,954.72/17,038.36
  6. Step 6: Final answer
    x = 17,345.68

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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.