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Finding the Fourth Proportional to 19,343, 26,693.50 and 10,511

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Solution

The fourth proportional to 19,343, 26,693.50 and 10,511 is: 14,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,343 : 26,693.50 = 10,511 : x
  2. Step 2: Convert to fraction form
    19,343/26,693.50 = 10,511/x
  3. Step 3: Cross multiply
    19,343x = 26,693.50 × 10,511
  4. Step 4: Simplify right side
    19,343x = 280,575,378.50
  5. Step 5: Solve for x
    x = 280,575,378.50/19,343
  6. Step 6: Final answer
    x = 14,505.27

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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.