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Finding the Fourth Proportional to 15,899.34, 21,934.71 and 10,233

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Solution

The fourth proportional to 15,899.34, 21,934.71 and 10,233 is: 14,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.34 : 21,934.71 = 10,233 : x
  2. Step 2: Convert to fraction form
    15,899.34/21,934.71 = 10,233/x
  3. Step 3: Cross multiply
    15,899.34x = 21,934.71 × 10,233
  4. Step 4: Simplify right side
    15,899.34x = 224,457,887.43
  5. Step 5: Solve for x
    x = 224,457,887.43/15,899.34
  6. Step 6: Final answer
    x = 14,117.43

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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.