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Finding the Fourth Proportional to 15,106.64, 22,667.64 and 6,784.96

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Solution

The fourth proportional to 15,106.64, 22,667.64 and 6,784.96 is: 10,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.64 : 22,667.64 = 6,784.96 : x
  2. Step 2: Convert to fraction form
    15,106.64/22,667.64 = 6,784.96/x
  3. Step 3: Cross multiply
    15,106.64x = 22,667.64 × 6,784.96
  4. Step 4: Simplify right side
    15,106.64x = 153,798,948.58
  5. Step 5: Solve for x
    x = 153,798,948.58/15,106.64
  6. Step 6: Final answer
    x = 10,180.88

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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.