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Finding the Fourth Proportional to 24,890.64, 37,323 and 11,739.48

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Solution

The fourth proportional to 24,890.64, 37,323 and 11,739.48 is: 17,603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,890.64 : 37,323 = 11,739.48 : x
  2. Step 2: Convert to fraction form
    24,890.64/37,323 = 11,739.48/x
  3. Step 3: Cross multiply
    24,890.64x = 37,323 × 11,739.48
  4. Step 4: Simplify right side
    24,890.64x = 438,152,612.04
  5. Step 5: Solve for x
    x = 438,152,612.04/24,890.64
  6. Step 6: Final answer
    x = 17,603.11

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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.