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Finding the Fourth Proportional to 14,287.84, 21,438.06 and 4,929.28

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Solution

The fourth proportional to 14,287.84, 21,438.06 and 4,929.28 is: 7,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.84 : 21,438.06 = 4,929.28 : x
  2. Step 2: Convert to fraction form
    14,287.84/21,438.06 = 4,929.28/x
  3. Step 3: Cross multiply
    14,287.84x = 21,438.06 × 4,929.28
  4. Step 4: Simplify right side
    14,287.84x = 105,674,200.40
  5. Step 5: Solve for x
    x = 105,674,200.40/14,287.84
  6. Step 6: Final answer
    x = 7,396.09

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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.