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Finding the Fourth Proportional to 21,967.50, 30,315.24 and 12,031.50

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Solution

The fourth proportional to 21,967.50, 30,315.24 and 12,031.50 is: 16,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.50 : 30,315.24 = 12,031.50 : x
  2. Step 2: Convert to fraction form
    21,967.50/30,315.24 = 12,031.50/x
  3. Step 3: Cross multiply
    21,967.50x = 30,315.24 × 12,031.50
  4. Step 4: Simplify right side
    21,967.50x = 364,737,810.06
  5. Step 5: Solve for x
    x = 364,737,810.06/21,967.50
  6. Step 6: Final answer
    x = 16,603.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.