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Finding the Fourth Proportional to 25,698, 35,463.24 and 14,520

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Solution

The fourth proportional to 25,698, 35,463.24 and 14,520 is: 20,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698 : 35,463.24 = 14,520 : x
  2. Step 2: Convert to fraction form
    25,698/35,463.24 = 14,520/x
  3. Step 3: Cross multiply
    25,698x = 35,463.24 × 14,520
  4. Step 4: Simplify right side
    25,698x = 514,926,244.80
  5. Step 5: Solve for x
    x = 514,926,244.80/25,698
  6. Step 6: Final answer
    x = 20,037.60

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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.