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Finding the Fourth Proportional to 19,225.50, 26,532 and 10,842

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Solution

The fourth proportional to 19,225.50, 26,532 and 10,842 is: 14,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,225.50 : 26,532 = 10,842 : x
  2. Step 2: Convert to fraction form
    19,225.50/26,532 = 10,842/x
  3. Step 3: Cross multiply
    19,225.50x = 26,532 × 10,842
  4. Step 4: Simplify right side
    19,225.50x = 287,659,944
  5. Step 5: Solve for x
    x = 287,659,944/19,225.50
  6. Step 6: Final answer
    x = 14,962.42

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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.