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Finding the Fourth Proportional to 14,384.64, 21,590.40 and 7,464

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Solution

The fourth proportional to 14,384.64, 21,590.40 and 7,464 is: 11,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.64 : 21,590.40 = 7,464 : x
  2. Step 2: Convert to fraction form
    14,384.64/21,590.40 = 7,464/x
  3. Step 3: Cross multiply
    14,384.64x = 21,590.40 × 7,464
  4. Step 4: Simplify right side
    14,384.64x = 161,150,745.60
  5. Step 5: Solve for x
    x = 161,150,745.60/14,384.64
  6. Step 6: Final answer
    x = 11,202.97

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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.