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Finding the Fourth Proportional to 18,341.93, 27,497.12 and 7,802.30

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Solution

The fourth proportional to 18,341.93, 27,497.12 and 7,802.30 is: 11,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,341.93 : 27,497.12 = 7,802.30 : x
  2. Step 2: Convert to fraction form
    18,341.93/27,497.12 = 7,802.30/x
  3. Step 3: Cross multiply
    18,341.93x = 27,497.12 × 7,802.30
  4. Step 4: Simplify right side
    18,341.93x = 214,540,809.11
  5. Step 5: Solve for x
    x = 214,540,809.11/18,341.93
  6. Step 6: Final answer
    x = 11,696.74

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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.