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Finding the Fourth Proportional to 21,482.25, 32,222.08 and 12,772.59

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Solution

The fourth proportional to 21,482.25, 32,222.08 and 12,772.59 is: 19,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,482.25 : 32,222.08 = 12,772.59 : x
  2. Step 2: Convert to fraction form
    21,482.25/32,222.08 = 12,772.59/x
  3. Step 3: Cross multiply
    21,482.25x = 32,222.08 × 12,772.59
  4. Step 4: Simplify right side
    21,482.25x = 411,559,416.79
  5. Step 5: Solve for x
    x = 411,559,416.79/21,482.25
  6. Step 6: Final answer
    x = 19,158.12

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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.