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Finding the Fourth Proportional to 14,126.16, 19,492.74 and 7,838.13

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Solution

The fourth proportional to 14,126.16, 19,492.74 and 7,838.13 is: 10,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.16 : 19,492.74 = 7,838.13 : x
  2. Step 2: Convert to fraction form
    14,126.16/19,492.74 = 7,838.13/x
  3. Step 3: Cross multiply
    14,126.16x = 19,492.74 × 7,838.13
  4. Step 4: Simplify right side
    14,126.16x = 152,786,630.18
  5. Step 5: Solve for x
    x = 152,786,630.18/14,126.16
  6. Step 6: Final answer
    x = 10,815.86

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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.