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Finding the Fourth Proportional to 21,829.98, 32,745.12 and 9,981.30

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Solution

The fourth proportional to 21,829.98, 32,745.12 and 9,981.30 is: 14,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.98 : 32,745.12 = 9,981.30 : x
  2. Step 2: Convert to fraction form
    21,829.98/32,745.12 = 9,981.30/x
  3. Step 3: Cross multiply
    21,829.98x = 32,745.12 × 9,981.30
  4. Step 4: Simplify right side
    21,829.98x = 326,838,866.26
  5. Step 5: Solve for x
    x = 326,838,866.26/21,829.98
  6. Step 6: Final answer
    x = 14,972.02

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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.