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Finding the Fourth Proportional to 24,356.84, 36,536.67 and 6,828.03

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Solution

The fourth proportional to 24,356.84, 36,536.67 and 6,828.03 is: 10,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.84 : 36,536.67 = 6,828.03 : x
  2. Step 2: Convert to fraction form
    24,356.84/36,536.67 = 6,828.03/x
  3. Step 3: Cross multiply
    24,356.84x = 36,536.67 × 6,828.03
  4. Step 4: Simplify right side
    24,356.84x = 249,473,478.86
  5. Step 5: Solve for x
    x = 249,473,478.86/24,356.84
  6. Step 6: Final answer
    x = 10,242.44

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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.