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Finding the Fourth Proportional to 21,703.86, 32,567.16 and 11,841.30

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Solution

The fourth proportional to 21,703.86, 32,567.16 and 11,841.30 is: 17,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.86 : 32,567.16 = 11,841.30 : x
  2. Step 2: Convert to fraction form
    21,703.86/32,567.16 = 11,841.30/x
  3. Step 3: Cross multiply
    21,703.86x = 32,567.16 × 11,841.30
  4. Step 4: Simplify right side
    21,703.86x = 385,637,511.71
  5. Step 5: Solve for x
    x = 385,637,511.71/21,703.86
  6. Step 6: Final answer
    x = 17,768.15

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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.