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Finding the Fourth Proportional to 19,585.76, 27,032 and 11,202.24

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Solution

The fourth proportional to 19,585.76, 27,032 and 11,202.24 is: 15,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.76 : 27,032 = 11,202.24 : x
  2. Step 2: Convert to fraction form
    19,585.76/27,032 = 11,202.24/x
  3. Step 3: Cross multiply
    19,585.76x = 27,032 × 11,202.24
  4. Step 4: Simplify right side
    19,585.76x = 302,818,951.68
  5. Step 5: Solve for x
    x = 302,818,951.68/19,585.76
  6. Step 6: Final answer
    x = 15,461.18

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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.