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Finding the Fourth Proportional to 24,528, 36,797.44 and 8,945.63

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Solution

The fourth proportional to 24,528, 36,797.44 and 8,945.63 is: 13,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,528 : 36,797.44 = 8,945.63 : x
  2. Step 2: Convert to fraction form
    24,528/36,797.44 = 8,945.63/x
  3. Step 3: Cross multiply
    24,528x = 36,797.44 × 8,945.63
  4. Step 4: Simplify right side
    24,528x = 329,176,283.19
  5. Step 5: Solve for x
    x = 329,176,283.19/24,528
  6. Step 6: Final answer
    x = 13,420.43

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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.