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Finding the Fourth Proportional to 14,985, 22,477.42 and 3,891.68

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Solution

The fourth proportional to 14,985, 22,477.42 and 3,891.68 is: 5,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,985 : 22,477.42 = 3,891.68 : x
  2. Step 2: Convert to fraction form
    14,985/22,477.42 = 3,891.68/x
  3. Step 3: Cross multiply
    14,985x = 22,477.42 × 3,891.68
  4. Step 4: Simplify right side
    14,985x = 87,474,925.87
  5. Step 5: Solve for x
    x = 87,474,925.87/14,985
  6. Step 6: Final answer
    x = 5,837.50

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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.