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Finding the Fourth Proportional to 16,894, 25,341.09 and 4,582

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Solution

The fourth proportional to 16,894, 25,341.09 and 4,582 is: 6,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894 : 25,341.09 = 4,582 : x
  2. Step 2: Convert to fraction form
    16,894/25,341.09 = 4,582/x
  3. Step 3: Cross multiply
    16,894x = 25,341.09 × 4,582
  4. Step 4: Simplify right side
    16,894x = 116,112,874.38
  5. Step 5: Solve for x
    x = 116,112,874.38/16,894
  6. Step 6: Final answer
    x = 6,873.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.