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Finding the Fourth Proportional to 21,672.09, 32,509.35 and 6,088.50

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Solution

The fourth proportional to 21,672.09, 32,509.35 and 6,088.50 is: 9,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.09 : 32,509.35 = 6,088.50 : x
  2. Step 2: Convert to fraction form
    21,672.09/32,509.35 = 6,088.50/x
  3. Step 3: Cross multiply
    21,672.09x = 32,509.35 × 6,088.50
  4. Step 4: Simplify right side
    21,672.09x = 197,933,177.48
  5. Step 5: Solve for x
    x = 197,933,177.48/21,672.09
  6. Step 6: Final answer
    x = 9,133.09

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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.