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Finding the Fourth Proportional to 15,807.34, 21,824.40 and 10,144.23

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Solution

The fourth proportional to 15,807.34, 21,824.40 and 10,144.23 is: 14,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.34 : 21,824.40 = 10,144.23 : x
  2. Step 2: Convert to fraction form
    15,807.34/21,824.40 = 10,144.23/x
  3. Step 3: Cross multiply
    15,807.34x = 21,824.40 × 10,144.23
  4. Step 4: Simplify right side
    15,807.34x = 221,391,733.21
  5. Step 5: Solve for x
    x = 221,391,733.21/15,807.34
  6. Step 6: Final answer
    x = 14,005.63

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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.