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Finding the Fourth Proportional to 21,637.34, 32,461.76 and 6,846.52

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Solution

The fourth proportional to 21,637.34, 32,461.76 and 6,846.52 is: 10,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,637.34 : 32,461.76 = 6,846.52 : x
  2. Step 2: Convert to fraction form
    21,637.34/32,461.76 = 6,846.52/x
  3. Step 3: Cross multiply
    21,637.34x = 32,461.76 × 6,846.52
  4. Step 4: Simplify right side
    21,637.34x = 222,250,089.08
  5. Step 5: Solve for x
    x = 222,250,089.08/21,637.34
  6. Step 6: Final answer
    x = 10,271.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.