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Finding the Fourth Proportional to 16,094.24, 24,128.64 and 10,460

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Solution

The fourth proportional to 16,094.24, 24,128.64 and 10,460 is: 15,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.24 : 24,128.64 = 10,460 : x
  2. Step 2: Convert to fraction form
    16,094.24/24,128.64 = 10,460/x
  3. Step 3: Cross multiply
    16,094.24x = 24,128.64 × 10,460
  4. Step 4: Simplify right side
    16,094.24x = 252,385,574.40
  5. Step 5: Solve for x
    x = 252,385,574.40/16,094.24
  6. Step 6: Final answer
    x = 15,681.73

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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.