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Finding the Fourth Proportional to 21,122.99, 31,533.14 and 19,646.76

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Solution

The fourth proportional to 21,122.99, 31,533.14 and 19,646.76 is: 29,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.99 : 31,533.14 = 19,646.76 : x
  2. Step 2: Convert to fraction form
    21,122.99/31,533.14 = 19,646.76/x
  3. Step 3: Cross multiply
    21,122.99x = 31,533.14 × 19,646.76
  4. Step 4: Simplify right side
    21,122.99x = 619,523,935.39
  5. Step 5: Solve for x
    x = 619,523,935.39/21,122.99
  6. Step 6: Final answer
    x = 29,329.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.