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Finding the Fourth Proportional to 18,696.25, 25,802.65 and 10,312.75

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Solution

The fourth proportional to 18,696.25, 25,802.65 and 10,312.75 is: 14,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,696.25 : 25,802.65 = 10,312.75 : x
  2. Step 2: Convert to fraction form
    18,696.25/25,802.65 = 10,312.75/x
  3. Step 3: Cross multiply
    18,696.25x = 25,802.65 × 10,312.75
  4. Step 4: Simplify right side
    18,696.25x = 266,096,253.01
  5. Step 5: Solve for x
    x = 266,096,253.01/18,696.25
  6. Step 6: Final answer
    x = 14,232.60

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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.