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Finding the Fourth Proportional to 25,591, 35,315.64 and 14,413

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Solution

The fourth proportional to 25,591, 35,315.64 and 14,413 is: 19,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,591 : 35,315.64 = 14,413 : x
  2. Step 2: Convert to fraction form
    25,591/35,315.64 = 14,413/x
  3. Step 3: Cross multiply
    25,591x = 35,315.64 × 14,413
  4. Step 4: Simplify right side
    25,591x = 509,004,319.32
  5. Step 5: Solve for x
    x = 509,004,319.32/25,591
  6. Step 6: Final answer
    x = 19,889.97

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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.