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Finding the Fourth Proportional to 21,780.54, 30,044.32 and 13,701.32

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Solution

The fourth proportional to 21,780.54, 30,044.32 and 13,701.32 is: 18,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.54 : 30,044.32 = 13,701.32 : x
  2. Step 2: Convert to fraction form
    21,780.54/30,044.32 = 13,701.32/x
  3. Step 3: Cross multiply
    21,780.54x = 30,044.32 × 13,701.32
  4. Step 4: Simplify right side
    21,780.54x = 411,646,842.50
  5. Step 5: Solve for x
    x = 411,646,842.50/21,780.54
  6. Step 6: Final answer
    x = 18,899.75

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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.