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Finding the Fourth Proportional to 14,762.46, 22,143.53 and 8,841

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Solution

The fourth proportional to 14,762.46, 22,143.53 and 8,841 is: 13,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.46 : 22,143.53 = 8,841 : x
  2. Step 2: Convert to fraction form
    14,762.46/22,143.53 = 8,841/x
  3. Step 3: Cross multiply
    14,762.46x = 22,143.53 × 8,841
  4. Step 4: Simplify right side
    14,762.46x = 195,770,904.53
  5. Step 5: Solve for x
    x = 195,770,904.53/14,762.46
  6. Step 6: Final answer
    x = 13,261.40

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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.