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Finding the Fourth Proportional to 24,417.84, 36,606.24 and 17,000.40

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Solution

The fourth proportional to 24,417.84, 36,606.24 and 17,000.40 is: 25,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.84 : 36,606.24 = 17,000.40 : x
  2. Step 2: Convert to fraction form
    24,417.84/36,606.24 = 17,000.40/x
  3. Step 3: Cross multiply
    24,417.84x = 36,606.24 × 17,000.40
  4. Step 4: Simplify right side
    24,417.84x = 622,320,722.50
  5. Step 5: Solve for x
    x = 622,320,722.50/24,417.84
  6. Step 6: Final answer
    x = 25,486.31

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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.