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Finding the Fourth Proportional to 17,038.72, 25,548 and 6,638.32

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Solution

The fourth proportional to 17,038.72, 25,548 and 6,638.32 is: 9,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.72 : 25,548 = 6,638.32 : x
  2. Step 2: Convert to fraction form
    17,038.72/25,548 = 6,638.32/x
  3. Step 3: Cross multiply
    17,038.72x = 25,548 × 6,638.32
  4. Step 4: Simplify right side
    17,038.72x = 169,595,799.36
  5. Step 5: Solve for x
    x = 169,595,799.36/17,038.72
  6. Step 6: Final answer
    x = 9,953.55

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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.