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Finding the Fourth Proportional to 21,507.64, 29,680.86 and 12,077.08

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Solution

The fourth proportional to 21,507.64, 29,680.86 and 12,077.08 is: 16,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.64 : 29,680.86 = 12,077.08 : x
  2. Step 2: Convert to fraction form
    21,507.64/29,680.86 = 12,077.08/x
  3. Step 3: Cross multiply
    21,507.64x = 29,680.86 × 12,077.08
  4. Step 4: Simplify right side
    21,507.64x = 358,458,120.69
  5. Step 5: Solve for x
    x = 358,458,120.69/21,507.64
  6. Step 6: Final answer
    x = 16,666.55

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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.