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Finding the Fourth Proportional to 14,762, 22,145.85 and 4,769.44

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Solution

The fourth proportional to 14,762, 22,145.85 and 4,769.44 is: 7,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762 : 22,145.85 = 4,769.44 : x
  2. Step 2: Convert to fraction form
    14,762/22,145.85 = 4,769.44/x
  3. Step 3: Cross multiply
    14,762x = 22,145.85 × 4,769.44
  4. Step 4: Simplify right side
    14,762x = 105,623,302.82
  5. Step 5: Solve for x
    x = 105,623,302.82/14,762
  6. Step 6: Final answer
    x = 7,155.08

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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.