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Finding the Fourth Proportional to 11,822.34, 16,316.64 and 8,985.10

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Solution

The fourth proportional to 11,822.34, 16,316.64 and 8,985.10 is: 12,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.34 : 16,316.64 = 8,985.10 : x
  2. Step 2: Convert to fraction form
    11,822.34/16,316.64 = 8,985.10/x
  3. Step 3: Cross multiply
    11,822.34x = 16,316.64 × 8,985.10
  4. Step 4: Simplify right side
    11,822.34x = 146,606,642.06
  5. Step 5: Solve for x
    x = 146,606,642.06/11,822.34
  6. Step 6: Final answer
    x = 12,400.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.