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Finding the Fourth Proportional to 19,806.30, 27,345.36 and 17,678.16

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Solution

The fourth proportional to 19,806.30, 27,345.36 and 17,678.16 is: 24,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.30 : 27,345.36 = 17,678.16 : x
  2. Step 2: Convert to fraction form
    19,806.30/27,345.36 = 17,678.16/x
  3. Step 3: Cross multiply
    19,806.30x = 27,345.36 × 17,678.16
  4. Step 4: Simplify right side
    19,806.30x = 483,415,649.34
  5. Step 5: Solve for x
    x = 483,415,649.34/19,806.30
  6. Step 6: Final answer
    x = 24,407.17

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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.