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Finding the Fourth Proportional to 15,762.81, 23,644.14 and 4,669.56

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Solution

The fourth proportional to 15,762.81, 23,644.14 and 4,669.56 is: 7,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.81 : 23,644.14 = 4,669.56 : x
  2. Step 2: Convert to fraction form
    15,762.81/23,644.14 = 4,669.56/x
  3. Step 3: Cross multiply
    15,762.81x = 23,644.14 × 4,669.56
  4. Step 4: Simplify right side
    15,762.81x = 110,407,730.38
  5. Step 5: Solve for x
    x = 110,407,730.38/15,762.81
  6. Step 6: Final answer
    x = 7,004.32

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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.