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Finding the Fourth Proportional to 12,838.49, 19,244.98 and 8,934.70

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Solution

The fourth proportional to 12,838.49, 19,244.98 and 8,934.70 is: 13,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.49 : 19,244.98 = 8,934.70 : x
  2. Step 2: Convert to fraction form
    12,838.49/19,244.98 = 8,934.70/x
  3. Step 3: Cross multiply
    12,838.49x = 19,244.98 × 8,934.70
  4. Step 4: Simplify right side
    12,838.49x = 171,948,085.86
  5. Step 5: Solve for x
    x = 171,948,085.86/12,838.49
  6. Step 6: Final answer
    x = 13,393.17

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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.