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Finding the Fourth Proportional to 13,128.67, 19,678.02 and 6,540.13

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Solution

The fourth proportional to 13,128.67, 19,678.02 and 6,540.13 is: 9,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128.67 : 19,678.02 = 6,540.13 : x
  2. Step 2: Convert to fraction form
    13,128.67/19,678.02 = 6,540.13/x
  3. Step 3: Cross multiply
    13,128.67x = 19,678.02 × 6,540.13
  4. Step 4: Simplify right side
    13,128.67x = 128,696,808.94
  5. Step 5: Solve for x
    x = 128,696,808.94/13,128.67
  6. Step 6: Final answer
    x = 9,802.73

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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.