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Finding the Fourth Proportional to 27,784.58, 38,302.80 and 19,812.98

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Solution

The fourth proportional to 27,784.58, 38,302.80 and 19,812.98 is: 27,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.58 : 38,302.80 = 19,812.98 : x
  2. Step 2: Convert to fraction form
    27,784.58/38,302.80 = 19,812.98/x
  3. Step 3: Cross multiply
    27,784.58x = 38,302.80 × 19,812.98
  4. Step 4: Simplify right side
    27,784.58x = 758,892,610.34
  5. Step 5: Solve for x
    x = 758,892,610.34/27,784.58
  6. Step 6: Final answer
    x = 27,313.45

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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.