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Finding the Fourth Proportional to 21,667.59, 32,502.60 and 6,084

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Solution

The fourth proportional to 21,667.59, 32,502.60 and 6,084 is: 9,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.59 : 32,502.60 = 6,084 : x
  2. Step 2: Convert to fraction form
    21,667.59/32,502.60 = 6,084/x
  3. Step 3: Cross multiply
    21,667.59x = 32,502.60 × 6,084
  4. Step 4: Simplify right side
    21,667.59x = 197,745,818.40
  5. Step 5: Solve for x
    x = 197,745,818.40/21,667.59
  6. Step 6: Final answer
    x = 9,126.34

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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.