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Finding the Fourth Proportional to 24,769, 34,185.54 and 14,833

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Solution

The fourth proportional to 24,769, 34,185.54 and 14,833 is: 20,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769 : 34,185.54 = 14,833 : x
  2. Step 2: Convert to fraction form
    24,769/34,185.54 = 14,833/x
  3. Step 3: Cross multiply
    24,769x = 34,185.54 × 14,833
  4. Step 4: Simplify right side
    24,769x = 507,074,114.82
  5. Step 5: Solve for x
    x = 507,074,114.82/24,769
  6. Step 6: Final answer
    x = 20,472.13

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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.