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Finding the Fourth Proportional to 23,478.12, 32,400.81 and 14,044.86

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Solution

The fourth proportional to 23,478.12, 32,400.81 and 14,044.86 is: 19,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.12 : 32,400.81 = 14,044.86 : x
  2. Step 2: Convert to fraction form
    23,478.12/32,400.81 = 14,044.86/x
  3. Step 3: Cross multiply
    23,478.12x = 32,400.81 × 14,044.86
  4. Step 4: Simplify right side
    23,478.12x = 455,064,840.34
  5. Step 5: Solve for x
    x = 455,064,840.34/23,478.12
  6. Step 6: Final answer
    x = 19,382.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.