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Finding the Fourth Proportional to 14,549.76, 21,844.80 and 7,534.80

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Solution

The fourth proportional to 14,549.76, 21,844.80 and 7,534.80 is: 11,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.76 : 21,844.80 = 7,534.80 : x
  2. Step 2: Convert to fraction form
    14,549.76/21,844.80 = 7,534.80/x
  3. Step 3: Cross multiply
    14,549.76x = 21,844.80 × 7,534.80
  4. Step 4: Simplify right side
    14,549.76x = 164,596,199.04
  5. Step 5: Solve for x
    x = 164,596,199.04/14,549.76
  6. Step 6: Final answer
    x = 11,312.64

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