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Finding the Fourth Proportional to 20,216.74, 30,312.76 and 9,689.98

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Solution

The fourth proportional to 20,216.74, 30,312.76 and 9,689.98 is: 14,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.74 : 30,312.76 = 9,689.98 : x
  2. Step 2: Convert to fraction form
    20,216.74/30,312.76 = 9,689.98/x
  3. Step 3: Cross multiply
    20,216.74x = 30,312.76 × 9,689.98
  4. Step 4: Simplify right side
    20,216.74x = 293,730,069.98
  5. Step 5: Solve for x
    x = 293,730,069.98/20,216.74
  6. Step 6: Final answer
    x = 14,529.05

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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.