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Finding the Fourth Proportional to 19,514.16, 26,924.76 and 11,556

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Solution

The fourth proportional to 19,514.16, 26,924.76 and 11,556 is: 15,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514.16 : 26,924.76 = 11,556 : x
  2. Step 2: Convert to fraction form
    19,514.16/26,924.76 = 11,556/x
  3. Step 3: Cross multiply
    19,514.16x = 26,924.76 × 11,556
  4. Step 4: Simplify right side
    19,514.16x = 311,142,526.56
  5. Step 5: Solve for x
    x = 311,142,526.56/19,514.16
  6. Step 6: Final answer
    x = 15,944.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.