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Finding the Fourth Proportional to 21,456.84, 32,189.58 and 7,417.38

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Solution

The fourth proportional to 21,456.84, 32,189.58 and 7,417.38 is: 11,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.84 : 32,189.58 = 7,417.38 : x
  2. Step 2: Convert to fraction form
    21,456.84/32,189.58 = 7,417.38/x
  3. Step 3: Cross multiply
    21,456.84x = 32,189.58 × 7,417.38
  4. Step 4: Simplify right side
    21,456.84x = 238,762,346.90
  5. Step 5: Solve for x
    x = 238,762,346.90/21,456.84
  6. Step 6: Final answer
    x = 11,127.56

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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.