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Finding the Fourth Proportional to 23,842.91, 32,892.93 and 14,406

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Solution

The fourth proportional to 23,842.91, 32,892.93 and 14,406 is: 19,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.91 : 32,892.93 = 14,406 : x
  2. Step 2: Convert to fraction form
    23,842.91/32,892.93 = 14,406/x
  3. Step 3: Cross multiply
    23,842.91x = 32,892.93 × 14,406
  4. Step 4: Simplify right side
    23,842.91x = 473,855,549.58
  5. Step 5: Solve for x
    x = 473,855,549.58/23,842.91
  6. Step 6: Final answer
    x = 19,874.07

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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.