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Finding the Fourth Proportional to 14,958, 20,643.48 and 8,334

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Solution

The fourth proportional to 14,958, 20,643.48 and 8,334 is: 11,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,958 : 20,643.48 = 8,334 : x
  2. Step 2: Convert to fraction form
    14,958/20,643.48 = 8,334/x
  3. Step 3: Cross multiply
    14,958x = 20,643.48 × 8,334
  4. Step 4: Simplify right side
    14,958x = 172,042,762.32
  5. Step 5: Solve for x
    x = 172,042,762.32/14,958
  6. Step 6: Final answer
    x = 11,501.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.