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Finding the Fourth Proportional to 12,697.02, 19,038.24 and 7,506.54

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Solution

The fourth proportional to 12,697.02, 19,038.24 and 7,506.54 is: 11,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.02 : 19,038.24 = 7,506.54 : x
  2. Step 2: Convert to fraction form
    12,697.02/19,038.24 = 7,506.54/x
  3. Step 3: Cross multiply
    12,697.02x = 19,038.24 × 7,506.54
  4. Step 4: Simplify right side
    12,697.02x = 142,911,310.09
  5. Step 5: Solve for x
    x = 142,911,310.09/12,697.02
  6. Step 6: Final answer
    x = 11,255.50

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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.