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Finding the Fourth Proportional to 24,752, 37,133.84 and 8,336

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Solution

The fourth proportional to 24,752, 37,133.84 and 8,336 is: 12,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,752 : 37,133.84 = 8,336 : x
  2. Step 2: Convert to fraction form
    24,752/37,133.84 = 8,336/x
  3. Step 3: Cross multiply
    24,752x = 37,133.84 × 8,336
  4. Step 4: Simplify right side
    24,752x = 309,547,690.24
  5. Step 5: Solve for x
    x = 309,547,690.24/24,752
  6. Step 6: Final answer
    x = 12,505.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.