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Finding the Fourth Proportional to 23,444.79, 32,354.38 and 12,834.39

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Solution

The fourth proportional to 23,444.79, 32,354.38 and 12,834.39 is: 17,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444.79 : 32,354.38 = 12,834.39 : x
  2. Step 2: Convert to fraction form
    23,444.79/32,354.38 = 12,834.39/x
  3. Step 3: Cross multiply
    23,444.79x = 32,354.38 × 12,834.39
  4. Step 4: Simplify right side
    23,444.79x = 415,248,731.13
  5. Step 5: Solve for x
    x = 415,248,731.13/23,444.79
  6. Step 6: Final answer
    x = 17,711.77

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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.