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Finding the Fourth Proportional to 24,898.68, 34,357.38 and 14,825.70

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Solution

The fourth proportional to 24,898.68, 34,357.38 and 14,825.70 is: 20,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,898.68 : 34,357.38 = 14,825.70 : x
  2. Step 2: Convert to fraction form
    24,898.68/34,357.38 = 14,825.70/x
  3. Step 3: Cross multiply
    24,898.68x = 34,357.38 × 14,825.70
  4. Step 4: Simplify right side
    24,898.68x = 509,372,208.67
  5. Step 5: Solve for x
    x = 509,372,208.67/24,898.68
  6. Step 6: Final answer
    x = 20,457.80

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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.