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Finding the Fourth Proportional to 16,858.24, 25,283.52 and 4,547.20

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Solution

The fourth proportional to 16,858.24, 25,283.52 and 4,547.20 is: 6,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.24 : 25,283.52 = 4,547.20 : x
  2. Step 2: Convert to fraction form
    16,858.24/25,283.52 = 4,547.20/x
  3. Step 3: Cross multiply
    16,858.24x = 25,283.52 × 4,547.20
  4. Step 4: Simplify right side
    16,858.24x = 114,969,222.14
  5. Step 5: Solve for x
    x = 114,969,222.14/16,858.24
  6. Step 6: Final answer
    x = 6,819.76

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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.