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Finding the Fourth Proportional to 16,484.40, 22,758.96 and 10,829.16

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Solution

The fourth proportional to 16,484.40, 22,758.96 and 10,829.16 is: 14,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.40 : 22,758.96 = 10,829.16 : x
  2. Step 2: Convert to fraction form
    16,484.40/22,758.96 = 10,829.16/x
  3. Step 3: Cross multiply
    16,484.40x = 22,758.96 × 10,829.16
  4. Step 4: Simplify right side
    16,484.40x = 246,460,419.27
  5. Step 5: Solve for x
    x = 246,460,419.27/16,484.40
  6. Step 6: Final answer
    x = 14,951.13

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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.