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Finding the Fourth Proportional to 25,281.72, 37,922.58 and 11,421

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Solution

The fourth proportional to 25,281.72, 37,922.58 and 11,421 is: 17,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,281.72 : 37,922.58 = 11,421 : x
  2. Step 2: Convert to fraction form
    25,281.72/37,922.58 = 11,421/x
  3. Step 3: Cross multiply
    25,281.72x = 37,922.58 × 11,421
  4. Step 4: Simplify right side
    25,281.72x = 433,113,786.18
  5. Step 5: Solve for x
    x = 433,113,786.18/25,281.72
  6. Step 6: Final answer
    x = 17,131.50

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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.