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Finding the Fourth Proportional to 14,923.17, 22,390.70 and 6,156.03

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Solution

The fourth proportional to 14,923.17, 22,390.70 and 6,156.03 is: 9,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923.17 : 22,390.70 = 6,156.03 : x
  2. Step 2: Convert to fraction form
    14,923.17/22,390.70 = 6,156.03/x
  3. Step 3: Cross multiply
    14,923.17x = 22,390.70 × 6,156.03
  4. Step 4: Simplify right side
    14,923.17x = 137,837,874.11
  5. Step 5: Solve for x
    x = 137,837,874.11/14,923.17
  6. Step 6: Final answer
    x = 9,236.50

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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.