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Finding the Fourth Proportional to 16,094.58, 24,141.89 and 9,154.50

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Solution

The fourth proportional to 16,094.58, 24,141.89 and 9,154.50 is: 13,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.58 : 24,141.89 = 9,154.50 : x
  2. Step 2: Convert to fraction form
    16,094.58/24,141.89 = 9,154.50/x
  3. Step 3: Cross multiply
    16,094.58x = 24,141.89 × 9,154.50
  4. Step 4: Simplify right side
    16,094.58x = 221,006,886.23
  5. Step 5: Solve for x
    x = 221,006,886.23/16,094.58
  6. Step 6: Final answer
    x = 13,731.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.