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Finding the Fourth Proportional to 14,447.84, 21,665.28 and 4,585.28

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Solution

The fourth proportional to 14,447.84, 21,665.28 and 4,585.28 is: 6,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.84 : 21,665.28 = 4,585.28 : x
  2. Step 2: Convert to fraction form
    14,447.84/21,665.28 = 4,585.28/x
  3. Step 3: Cross multiply
    14,447.84x = 21,665.28 × 4,585.28
  4. Step 4: Simplify right side
    14,447.84x = 99,341,375.08
  5. Step 5: Solve for x
    x = 99,341,375.08/14,447.84
  6. Step 6: Final answer
    x = 6,875.86

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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.