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Finding the Fourth Proportional to 21,014.67, 31,532.94 and 16,545

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Solution

The fourth proportional to 21,014.67, 31,532.94 and 16,545 is: 24,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014.67 : 31,532.94 = 16,545 : x
  2. Step 2: Convert to fraction form
    21,014.67/31,532.94 = 16,545/x
  3. Step 3: Cross multiply
    21,014.67x = 31,532.94 × 16,545
  4. Step 4: Simplify right side
    21,014.67x = 521,712,492.30
  5. Step 5: Solve for x
    x = 521,712,492.30/21,014.67
  6. Step 6: Final answer
    x = 24,826.11

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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.