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Finding the Fourth Proportional to 14,465.00, 21,696.14 and 5,104.64

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Solution

The fourth proportional to 14,465.00, 21,696.14 and 5,104.64 is: 7,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.00 : 21,696.14 = 5,104.64 : x
  2. Step 2: Convert to fraction form
    14,465.00/21,696.14 = 5,104.64/x
  3. Step 3: Cross multiply
    14,465.00x = 21,696.14 × 5,104.64
  4. Step 4: Simplify right side
    14,465.00x = 110,751,051.09
  5. Step 5: Solve for x
    x = 110,751,051.09/14,465.00
  6. Step 6: Final answer
    x = 7,656.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.