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Finding the Fourth Proportional to 15,615.84, 23,433 and 5,762.04

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Solution

The fourth proportional to 15,615.84, 23,433 and 5,762.04 is: 8,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,615.84 : 23,433 = 5,762.04 : x
  2. Step 2: Convert to fraction form
    15,615.84/23,433 = 5,762.04/x
  3. Step 3: Cross multiply
    15,615.84x = 23,433 × 5,762.04
  4. Step 4: Simplify right side
    15,615.84x = 135,021,883.32
  5. Step 5: Solve for x
    x = 135,021,883.32/15,615.84
  6. Step 6: Final answer
    x = 8,646.47

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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.