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Finding the Fourth Proportional to 19,266, 26,587.72 and 11,812.56

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Solution

The fourth proportional to 19,266, 26,587.72 and 11,812.56 is: 16,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,266 : 26,587.72 = 11,812.56 : x
  2. Step 2: Convert to fraction form
    19,266/26,587.72 = 11,812.56/x
  3. Step 3: Cross multiply
    19,266x = 26,587.72 × 11,812.56
  4. Step 4: Simplify right side
    19,266x = 314,069,037.76
  5. Step 5: Solve for x
    x = 314,069,037.76/19,266
  6. Step 6: Final answer
    x = 16,301.73

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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.