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Finding the Fourth Proportional to 21,459.15, 32,155.83 and 9,758.70

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Solution

The fourth proportional to 21,459.15, 32,155.83 and 9,758.70 is: 14,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459.15 : 32,155.83 = 9,758.70 : x
  2. Step 2: Convert to fraction form
    21,459.15/32,155.83 = 9,758.70/x
  3. Step 3: Cross multiply
    21,459.15x = 32,155.83 × 9,758.70
  4. Step 4: Simplify right side
    21,459.15x = 313,799,098.22
  5. Step 5: Solve for x
    x = 313,799,098.22/21,459.15
  6. Step 6: Final answer
    x = 14,623.09

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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.