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Finding the Fourth Proportional to 24,415, 36,622.47 and 16,034.41

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Solution

The fourth proportional to 24,415, 36,622.47 and 16,034.41 is: 24,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415 : 36,622.47 = 16,034.41 : x
  2. Step 2: Convert to fraction form
    24,415/36,622.47 = 16,034.41/x
  3. Step 3: Cross multiply
    24,415x = 36,622.47 × 16,034.41
  4. Step 4: Simplify right side
    24,415x = 587,219,619.02
  5. Step 5: Solve for x
    x = 587,219,619.02/24,415
  6. Step 6: Final answer
    x = 24,051.59

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1.5x scale

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.