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Finding the Fourth Proportional to 19,205.52, 26,508.64 and 12,509.52

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Solution

The fourth proportional to 19,205.52, 26,508.64 and 12,509.52 is: 17,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.52 : 26,508.64 = 12,509.52 : x
  2. Step 2: Convert to fraction form
    19,205.52/26,508.64 = 12,509.52/x
  3. Step 3: Cross multiply
    19,205.52x = 26,508.64 × 12,509.52
  4. Step 4: Simplify right side
    19,205.52x = 331,610,362.25
  5. Step 5: Solve for x
    x = 331,610,362.25/19,205.52
  6. Step 6: Final answer
    x = 17,266.41

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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.