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Finding the Fourth Proportional to 21,424.34, 32,133.33 and 8,275.07

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Solution

The fourth proportional to 21,424.34, 32,133.33 and 8,275.07 is: 12,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.34 : 32,133.33 = 8,275.07 : x
  2. Step 2: Convert to fraction form
    21,424.34/32,133.33 = 8,275.07/x
  3. Step 3: Cross multiply
    21,424.34x = 32,133.33 × 8,275.07
  4. Step 4: Simplify right side
    21,424.34x = 265,905,394.42
  5. Step 5: Solve for x
    x = 265,905,394.42/21,424.34
  6. Step 6: Final answer
    x = 12,411.37

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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.