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Finding the Fourth Proportional to 25,556.64, 35,267.76 and 14,226

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Solution

The fourth proportional to 25,556.64, 35,267.76 and 14,226 is: 19,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,556.64 : 35,267.76 = 14,226 : x
  2. Step 2: Convert to fraction form
    25,556.64/35,267.76 = 14,226/x
  3. Step 3: Cross multiply
    25,556.64x = 35,267.76 × 14,226
  4. Step 4: Simplify right side
    25,556.64x = 501,719,153.76
  5. Step 5: Solve for x
    x = 501,719,153.76/25,556.64
  6. Step 6: Final answer
    x = 19,631.66

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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.