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Finding the Fourth Proportional to 23,433.76, 32,347.98 and 14,000.56

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Solution

The fourth proportional to 23,433.76, 32,347.98 and 14,000.56 is: 19,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433.76 : 32,347.98 = 14,000.56 : x
  2. Step 2: Convert to fraction form
    23,433.76/32,347.98 = 14,000.56/x
  3. Step 3: Cross multiply
    23,433.76x = 32,347.98 × 14,000.56
  4. Step 4: Simplify right side
    23,433.76x = 452,889,834.87
  5. Step 5: Solve for x
    x = 452,889,834.87/23,433.76
  6. Step 6: Final answer
    x = 19,326.38

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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.