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Finding the Fourth Proportional to 14,182.82, 19,572.29 and 7,896.68

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Solution

The fourth proportional to 14,182.82, 19,572.29 and 7,896.68 is: 10,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.82 : 19,572.29 = 7,896.68 : x
  2. Step 2: Convert to fraction form
    14,182.82/19,572.29 = 7,896.68/x
  3. Step 3: Cross multiply
    14,182.82x = 19,572.29 × 7,896.68
  4. Step 4: Simplify right side
    14,182.82x = 154,556,071.51
  5. Step 5: Solve for x
    x = 154,556,071.51/14,182.82
  6. Step 6: Final answer
    x = 10,897.41

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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.