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Finding the Fourth Proportional to 27,570.47, 38,055.90 and 15,641.73

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Solution

The fourth proportional to 27,570.47, 38,055.90 and 15,641.73 is: 21,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.47 : 38,055.90 = 15,641.73 : x
  2. Step 2: Convert to fraction form
    27,570.47/38,055.90 = 15,641.73/x
  3. Step 3: Cross multiply
    27,570.47x = 38,055.90 × 15,641.73
  4. Step 4: Simplify right side
    27,570.47x = 595,260,112.71
  5. Step 5: Solve for x
    x = 595,260,112.71/27,570.47
  6. Step 6: Final answer
    x = 21,590.50

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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.