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Finding the Fourth Proportional to 25,551.64, 35,260.86 and 14,221

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Solution

The fourth proportional to 25,551.64, 35,260.86 and 14,221 is: 19,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,551.64 : 35,260.86 = 14,221 : x
  2. Step 2: Convert to fraction form
    25,551.64/35,260.86 = 14,221/x
  3. Step 3: Cross multiply
    25,551.64x = 35,260.86 × 14,221
  4. Step 4: Simplify right side
    25,551.64x = 501,444,690.06
  5. Step 5: Solve for x
    x = 501,444,690.06/25,551.64
  6. Step 6: Final answer
    x = 19,624.76

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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.