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Finding the Fourth Proportional to 17,054.40, 25,564 and 9,246.72

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Solution

The fourth proportional to 17,054.40, 25,564 and 9,246.72 is: 13,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,054.40 : 25,564 = 9,246.72 : x
  2. Step 2: Convert to fraction form
    17,054.40/25,564 = 9,246.72/x
  3. Step 3: Cross multiply
    17,054.40x = 25,564 × 9,246.72
  4. Step 4: Simplify right side
    17,054.40x = 236,383,150.08
  5. Step 5: Solve for x
    x = 236,383,150.08/17,054.40
  6. Step 6: Final answer
    x = 13,860.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.