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Finding the Fourth Proportional to 21,123.76, 31,688 and 9,435.48

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Solution

The fourth proportional to 21,123.76, 31,688 and 9,435.48 is: 14,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.76 : 31,688 = 9,435.48 : x
  2. Step 2: Convert to fraction form
    21,123.76/31,688 = 9,435.48/x
  3. Step 3: Cross multiply
    21,123.76x = 31,688 × 9,435.48
  4. Step 4: Simplify right side
    21,123.76x = 298,991,490.24
  5. Step 5: Solve for x
    x = 298,991,490.24/21,123.76
  6. Step 6: Final answer
    x = 14,154.27

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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.