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Finding the Fourth Proportional to 21,484.25, 32,225.08 and 12,774.59

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Solution

The fourth proportional to 21,484.25, 32,225.08 and 12,774.59 is: 19,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,484.25 : 32,225.08 = 12,774.59 : x
  2. Step 2: Convert to fraction form
    21,484.25/32,225.08 = 12,774.59/x
  3. Step 3: Cross multiply
    21,484.25x = 32,225.08 × 12,774.59
  4. Step 4: Simplify right side
    21,484.25x = 411,662,184.72
  5. Step 5: Solve for x
    x = 411,662,184.72/21,484.25
  6. Step 6: Final answer
    x = 19,161.11

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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.