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Finding the Fourth Proportional to 16,256.54, 24,385.66 and 5,164.10

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Solution

The fourth proportional to 16,256.54, 24,385.66 and 5,164.10 is: 7,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.54 : 24,385.66 = 5,164.10 : x
  2. Step 2: Convert to fraction form
    16,256.54/24,385.66 = 5,164.10/x
  3. Step 3: Cross multiply
    16,256.54x = 24,385.66 × 5,164.10
  4. Step 4: Simplify right side
    16,256.54x = 125,929,986.81
  5. Step 5: Solve for x
    x = 125,929,986.81/16,256.54
  6. Step 6: Final answer
    x = 7,746.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.