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Finding the Fourth Proportional to 11,423.63, 17,111.88 and 10,466.82

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Solution

The fourth proportional to 11,423.63, 17,111.88 and 10,466.82 is: 15,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.63 : 17,111.88 = 10,466.82 : x
  2. Step 2: Convert to fraction form
    11,423.63/17,111.88 = 10,466.82/x
  3. Step 3: Cross multiply
    11,423.63x = 17,111.88 × 10,466.82
  4. Step 4: Simplify right side
    11,423.63x = 179,106,967.82
  5. Step 5: Solve for x
    x = 179,106,967.82/11,423.63
  6. Step 6: Final answer
    x = 15,678.64

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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.