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Finding the Fourth Proportional to 14,918.32, 20,587.50 and 8,204.64

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Solution

The fourth proportional to 14,918.32, 20,587.50 and 8,204.64 is: 11,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,918.32 : 20,587.50 = 8,204.64 : x
  2. Step 2: Convert to fraction form
    14,918.32/20,587.50 = 8,204.64/x
  3. Step 3: Cross multiply
    14,918.32x = 20,587.50 × 8,204.64
  4. Step 4: Simplify right side
    14,918.32x = 168,913,026
  5. Step 5: Solve for x
    x = 168,913,026/14,918.32
  6. Step 6: Final answer
    x = 11,322.52

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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.