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Finding the Fourth Proportional to 24,937.83, 37,412.91 and 7,407.63

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Solution

The fourth proportional to 24,937.83, 37,412.91 and 7,407.63 is: 11,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,937.83 : 37,412.91 = 7,407.63 : x
  2. Step 2: Convert to fraction form
    24,937.83/37,412.91 = 7,407.63/x
  3. Step 3: Cross multiply
    24,937.83x = 37,412.91 × 7,407.63
  4. Step 4: Simplify right side
    24,937.83x = 277,140,994.50
  5. Step 5: Solve for x
    x = 277,140,994.50/24,937.83
  6. Step 6: Final answer
    x = 11,113.28

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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.