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Finding the Fourth Proportional to 14,536.64, 21,800.64 and 5,303.36

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Solution

The fourth proportional to 14,536.64, 21,800.64 and 5,303.36 is: 7,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.64 : 21,800.64 = 5,303.36 : x
  2. Step 2: Convert to fraction form
    14,536.64/21,800.64 = 5,303.36/x
  3. Step 3: Cross multiply
    14,536.64x = 21,800.64 × 5,303.36
  4. Step 4: Simplify right side
    14,536.64x = 115,616,642.15
  5. Step 5: Solve for x
    x = 115,616,642.15/14,536.64
  6. Step 6: Final answer
    x = 7,953.46

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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.