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Finding the Fourth Proportional to 20,147.40, 27,802.62 and 11,648.16

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Solution

The fourth proportional to 20,147.40, 27,802.62 and 11,648.16 is: 16,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.40 : 27,802.62 = 11,648.16 : x
  2. Step 2: Convert to fraction form
    20,147.40/27,802.62 = 11,648.16/x
  3. Step 3: Cross multiply
    20,147.40x = 27,802.62 × 11,648.16
  4. Step 4: Simplify right side
    20,147.40x = 323,849,366.18
  5. Step 5: Solve for x
    x = 323,849,366.18/20,147.40
  6. Step 6: Final answer
    x = 16,074.00

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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.