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Finding the Fourth Proportional to 20,271.18, 27,972 and 11,319.06

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Solution

The fourth proportional to 20,271.18, 27,972 and 11,319.06 is: 15,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.18 : 27,972 = 11,319.06 : x
  2. Step 2: Convert to fraction form
    20,271.18/27,972 = 11,319.06/x
  3. Step 3: Cross multiply
    20,271.18x = 27,972 × 11,319.06
  4. Step 4: Simplify right side
    20,271.18x = 316,616,746.32
  5. Step 5: Solve for x
    x = 316,616,746.32/20,271.18
  6. Step 6: Final answer
    x = 15,619.06

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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.