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Finding the Fourth Proportional to 17,460, 24,094.80 and 10,012.32

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Solution

The fourth proportional to 17,460, 24,094.80 and 10,012.32 is: 13,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460 : 24,094.80 = 10,012.32 : x
  2. Step 2: Convert to fraction form
    17,460/24,094.80 = 10,012.32/x
  3. Step 3: Cross multiply
    17,460x = 24,094.80 × 10,012.32
  4. Step 4: Simplify right side
    17,460x = 241,244,847.94
  5. Step 5: Solve for x
    x = 241,244,847.94/17,460
  6. Step 6: Final answer
    x = 13,817.00

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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.