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Finding the Fourth Proportional to 14,126.25, 19,494.83 and 7,838.63

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Solution

The fourth proportional to 14,126.25, 19,494.83 and 7,838.63 is: 10,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.25 : 19,494.83 = 7,838.63 : x
  2. Step 2: Convert to fraction form
    14,126.25/19,494.83 = 7,838.63/x
  3. Step 3: Cross multiply
    14,126.25x = 19,494.83 × 7,838.63
  4. Step 4: Simplify right side
    14,126.25x = 152,812,681.41
  5. Step 5: Solve for x
    x = 152,812,681.41/14,126.25
  6. Step 6: Final answer
    x = 10,817.64

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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.