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Finding the Fourth Proportional to 21,847.35, 30,166.66 and 17,585

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Solution

The fourth proportional to 21,847.35, 30,166.66 and 17,585 is: 24,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.35 : 30,166.66 = 17,585 : x
  2. Step 2: Convert to fraction form
    21,847.35/30,166.66 = 17,585/x
  3. Step 3: Cross multiply
    21,847.35x = 30,166.66 × 17,585
  4. Step 4: Simplify right side
    21,847.35x = 530,480,716.10
  5. Step 5: Solve for x
    x = 530,480,716.10/21,847.35
  6. Step 6: Final answer
    x = 24,281.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.