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Finding the Fourth Proportional to 17,876.69, 24,672.02 and 10,323

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Solution

The fourth proportional to 17,876.69, 24,672.02 and 10,323 is: 14,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.69 : 24,672.02 = 10,323 : x
  2. Step 2: Convert to fraction form
    17,876.69/24,672.02 = 10,323/x
  3. Step 3: Cross multiply
    17,876.69x = 24,672.02 × 10,323
  4. Step 4: Simplify right side
    17,876.69x = 254,689,262.46
  5. Step 5: Solve for x
    x = 254,689,262.46/17,876.69
  6. Step 6: Final answer
    x = 14,247.00

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