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Finding the Fourth Proportional to 16,358, 22,548.24 and 10,682.72

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Solution

The fourth proportional to 16,358, 22,548.24 and 10,682.72 is: 14,725.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358 : 22,548.24 = 10,682.72 : x
  2. Step 2: Convert to fraction form
    16,358/22,548.24 = 10,682.72/x
  3. Step 3: Cross multiply
    16,358x = 22,548.24 × 10,682.72
  4. Step 4: Simplify right side
    16,358x = 240,876,534.41
  5. Step 5: Solve for x
    x = 240,876,534.41/16,358
  6. Step 6: Final answer
    x = 14,725.30

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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.