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Finding the Fourth Proportional to 21,148.84, 31,720.74 and 5,567.68

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Solution

The fourth proportional to 21,148.84, 31,720.74 and 5,567.68 is: 8,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.84 : 31,720.74 = 5,567.68 : x
  2. Step 2: Convert to fraction form
    21,148.84/31,720.74 = 5,567.68/x
  3. Step 3: Cross multiply
    21,148.84x = 31,720.74 × 5,567.68
  4. Step 4: Simplify right side
    21,148.84x = 176,610,929.68
  5. Step 5: Solve for x
    x = 176,610,929.68/21,148.84
  6. Step 6: Final answer
    x = 8,350.86

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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.