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Finding the Fourth Proportional to 15,779.70, 23,665.91 and 4,683.71

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Solution

The fourth proportional to 15,779.70, 23,665.91 and 4,683.71 is: 7,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779.70 : 23,665.91 = 4,683.71 : x
  2. Step 2: Convert to fraction form
    15,779.70/23,665.91 = 4,683.71/x
  3. Step 3: Cross multiply
    15,779.70x = 23,665.91 × 4,683.71
  4. Step 4: Simplify right side
    15,779.70x = 110,844,295.07
  5. Step 5: Solve for x
    x = 110,844,295.07/15,779.70
  6. Step 6: Final answer
    x = 7,024.49

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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.