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Finding the Fourth Proportional to 21,133.88, 31,688.96 and 14,477.90

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Solution

The fourth proportional to 21,133.88, 31,688.96 and 14,477.90 is: 21,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133.88 : 31,688.96 = 14,477.90 : x
  2. Step 2: Convert to fraction form
    21,133.88/31,688.96 = 14,477.90/x
  3. Step 3: Cross multiply
    21,133.88x = 31,688.96 × 14,477.90
  4. Step 4: Simplify right side
    21,133.88x = 458,789,363.15
  5. Step 5: Solve for x
    x = 458,789,363.15/21,133.88
  6. Step 6: Final answer
    x = 21,708.72

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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.