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Finding the Fourth Proportional to 21,106.71, 31,663.71 and 9,419.49

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Solution

The fourth proportional to 21,106.71, 31,663.71 and 9,419.49 is: 14,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.71 : 31,663.71 = 9,419.49 : x
  2. Step 2: Convert to fraction form
    21,106.71/31,663.71 = 9,419.49/x
  3. Step 3: Cross multiply
    21,106.71x = 31,663.71 × 9,419.49
  4. Step 4: Simplify right side
    21,106.71x = 298,255,999.71
  5. Step 5: Solve for x
    x = 298,255,999.71/21,106.71
  6. Step 6: Final answer
    x = 14,130.86

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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.