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Finding the Fourth Proportional to 19,805.74, 27,321.69 and 13,430.17

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Solution

The fourth proportional to 19,805.74, 27,321.69 and 13,430.17 is: 18,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.74 : 27,321.69 = 13,430.17 : x
  2. Step 2: Convert to fraction form
    19,805.74/27,321.69 = 13,430.17/x
  3. Step 3: Cross multiply
    19,805.74x = 27,321.69 × 13,430.17
  4. Step 4: Simplify right side
    19,805.74x = 366,934,941.39
  5. Step 5: Solve for x
    x = 366,934,941.39/19,805.74
  6. Step 6: Final answer
    x = 18,526.70

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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.