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Finding the Fourth Proportional to 21,510.56, 32,278.38 and 9,029.62

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Solution

The fourth proportional to 21,510.56, 32,278.38 and 9,029.62 is: 13,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510.56 : 32,278.38 = 9,029.62 : x
  2. Step 2: Convert to fraction form
    21,510.56/32,278.38 = 9,029.62/x
  3. Step 3: Cross multiply
    21,510.56x = 32,278.38 × 9,029.62
  4. Step 4: Simplify right side
    21,510.56x = 291,461,505.62
  5. Step 5: Solve for x
    x = 291,461,505.62/21,510.56
  6. Step 6: Final answer
    x = 13,549.69

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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.