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Finding the Fourth Proportional to 16,094.16, 24,142.32 and 9,154.08

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Solution

The fourth proportional to 16,094.16, 24,142.32 and 9,154.08 is: 13,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.16 : 24,142.32 = 9,154.08 : x
  2. Step 2: Convert to fraction form
    16,094.16/24,142.32 = 9,154.08/x
  3. Step 3: Cross multiply
    16,094.16x = 24,142.32 × 9,154.08
  4. Step 4: Simplify right side
    16,094.16x = 221,000,728.67
  5. Step 5: Solve for x
    x = 221,000,728.67/16,094.16
  6. Step 6: Final answer
    x = 13,731.73

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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.