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Finding the Fourth Proportional to 21,257.04, 31,885.52 and 7,406

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Solution

The fourth proportional to 21,257.04, 31,885.52 and 7,406 is: 11,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.04 : 31,885.52 = 7,406 : x
  2. Step 2: Convert to fraction form
    21,257.04/31,885.52 = 7,406/x
  3. Step 3: Cross multiply
    21,257.04x = 31,885.52 × 7,406
  4. Step 4: Simplify right side
    21,257.04x = 236,144,161.12
  5. Step 5: Solve for x
    x = 236,144,161.12/21,257.04
  6. Step 6: Final answer
    x = 11,108.99

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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.