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Finding the Fourth Proportional to 24,768, 37,157.76 and 17,830.08

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Solution

The fourth proportional to 24,768, 37,157.76 and 17,830.08 is: 26,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768 : 37,157.76 = 17,830.08 : x
  2. Step 2: Convert to fraction form
    24,768/37,157.76 = 17,830.08/x
  3. Step 3: Cross multiply
    24,768x = 37,157.76 × 17,830.08
  4. Step 4: Simplify right side
    24,768x = 662,525,833.42
  5. Step 5: Solve for x
    x = 662,525,833.42/24,768
  6. Step 6: Final answer
    x = 26,749.27

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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.