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Finding the Fourth Proportional to 14,264.84, 21,392.02 and 4,902.20

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Solution

The fourth proportional to 14,264.84, 21,392.02 and 4,902.20 is: 7,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.84 : 21,392.02 = 4,902.20 : x
  2. Step 2: Convert to fraction form
    14,264.84/21,392.02 = 4,902.20/x
  3. Step 3: Cross multiply
    14,264.84x = 21,392.02 × 4,902.20
  4. Step 4: Simplify right side
    14,264.84x = 104,868,001.67
  5. Step 5: Solve for x
    x = 104,868,001.67/14,264.84
  6. Step 6: Final answer
    x = 7,351.50

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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.