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Finding the Fourth Proportional to 15,347.96, 22,977.89 and 9,464.93

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Solution

The fourth proportional to 15,347.96, 22,977.89 and 9,464.93 is: 14,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,347.96 : 22,977.89 = 9,464.93 : x
  2. Step 2: Convert to fraction form
    15,347.96/22,977.89 = 9,464.93/x
  3. Step 3: Cross multiply
    15,347.96x = 22,977.89 × 9,464.93
  4. Step 4: Simplify right side
    15,347.96x = 217,484,120.40
  5. Step 5: Solve for x
    x = 217,484,120.40/15,347.96
  6. Step 6: Final answer
    x = 14,170.23

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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.