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Finding the Fourth Proportional to 22,809.60, 31,449.60 and 15,724.80

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Solution

The fourth proportional to 22,809.60, 31,449.60 and 15,724.80 is: 21,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.60 : 31,449.60 = 15,724.80 : x
  2. Step 2: Convert to fraction form
    22,809.60/31,449.60 = 15,724.80/x
  3. Step 3: Cross multiply
    22,809.60x = 31,449.60 × 15,724.80
  4. Step 4: Simplify right side
    22,809.60x = 494,538,670.08
  5. Step 5: Solve for x
    x = 494,538,670.08/22,809.60
  6. Step 6: Final answer
    x = 21,681.16

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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.