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Finding the Fourth Proportional to 15,577, 23,369.34 and 4,633

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Solution

The fourth proportional to 15,577, 23,369.34 and 4,633 is: 6,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577 : 23,369.34 = 4,633 : x
  2. Step 2: Convert to fraction form
    15,577/23,369.34 = 4,633/x
  3. Step 3: Cross multiply
    15,577x = 23,369.34 × 4,633
  4. Step 4: Simplify right side
    15,577x = 108,270,152.22
  5. Step 5: Solve for x
    x = 108,270,152.22/15,577
  6. Step 6: Final answer
    x = 6,950.64

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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.