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Finding the Fourth Proportional to 23,491.83, 32,418.57 and 12,881.50

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Solution

The fourth proportional to 23,491.83, 32,418.57 and 12,881.50 is: 17,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.83 : 32,418.57 = 12,881.50 : x
  2. Step 2: Convert to fraction form
    23,491.83/32,418.57 = 12,881.50/x
  3. Step 3: Cross multiply
    23,491.83x = 32,418.57 × 12,881.50
  4. Step 4: Simplify right side
    23,491.83x = 417,599,809.46
  5. Step 5: Solve for x
    x = 417,599,809.46/23,491.83
  6. Step 6: Final answer
    x = 17,776.38

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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.