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Finding the Fourth Proportional to 13,159.76, 19,733.84 and 4,946

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Solution

The fourth proportional to 13,159.76, 19,733.84 and 4,946 is: 7,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.76 : 19,733.84 = 4,946 : x
  2. Step 2: Convert to fraction form
    13,159.76/19,733.84 = 4,946/x
  3. Step 3: Cross multiply
    13,159.76x = 19,733.84 × 4,946
  4. Step 4: Simplify right side
    13,159.76x = 97,603,572.64
  5. Step 5: Solve for x
    x = 97,603,572.64/13,159.76
  6. Step 6: Final answer
    x = 7,416.82

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