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Finding the Fourth Proportional to 15,873.24, 23,813 and 4,779.37

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Solution

The fourth proportional to 15,873.24, 23,813 and 4,779.37 is: 7,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.24 : 23,813 = 4,779.37 : x
  2. Step 2: Convert to fraction form
    15,873.24/23,813 = 4,779.37/x
  3. Step 3: Cross multiply
    15,873.24x = 23,813 × 4,779.37
  4. Step 4: Simplify right side
    15,873.24x = 113,811,137.81
  5. Step 5: Solve for x
    x = 113,811,137.81/15,873.24
  6. Step 6: Final answer
    x = 7,170.00

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Why These Related Problems?

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