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Finding the Fourth Proportional to 24,528, 33,848.64 and 13,350

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Solution

The fourth proportional to 24,528, 33,848.64 and 13,350 is: 18,423

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,528 : 33,848.64 = 13,350 : x
  2. Step 2: Convert to fraction form
    24,528/33,848.64 = 13,350/x
  3. Step 3: Cross multiply
    24,528x = 33,848.64 × 13,350
  4. Step 4: Simplify right side
    24,528x = 451,879,344
  5. Step 5: Solve for x
    x = 451,879,344/24,528
  6. Step 6: Final answer
    x = 18,423

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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.