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Finding the Fourth Proportional to 14,182.84, 19,569.90 and 7,894

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Solution

The fourth proportional to 14,182.84, 19,569.90 and 7,894 is: 10,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.84 : 19,569.90 = 7,894 : x
  2. Step 2: Convert to fraction form
    14,182.84/19,569.90 = 7,894/x
  3. Step 3: Cross multiply
    14,182.84x = 19,569.90 × 7,894
  4. Step 4: Simplify right side
    14,182.84x = 154,484,790.60
  5. Step 5: Solve for x
    x = 154,484,790.60/14,182.84
  6. Step 6: Final answer
    x = 10,892.37

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