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Finding the Fourth Proportional to 21,666.36, 32,492.88 and 9,186.14

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Solution

The fourth proportional to 21,666.36, 32,492.88 and 9,186.14 is: 13,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666.36 : 32,492.88 = 9,186.14 : x
  2. Step 2: Convert to fraction form
    21,666.36/32,492.88 = 9,186.14/x
  3. Step 3: Cross multiply
    21,666.36x = 32,492.88 × 9,186.14
  4. Step 4: Simplify right side
    21,666.36x = 298,484,144.68
  5. Step 5: Solve for x
    x = 298,484,144.68/21,666.36
  6. Step 6: Final answer
    x = 13,776.39

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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.