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Finding the Fourth Proportional to 14,451.84, 21,670.08 and 6,654

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Solution

The fourth proportional to 14,451.84, 21,670.08 and 6,654 is: 9,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.84 : 21,670.08 = 6,654 : x
  2. Step 2: Convert to fraction form
    14,451.84/21,670.08 = 6,654/x
  3. Step 3: Cross multiply
    14,451.84x = 21,670.08 × 6,654
  4. Step 4: Simplify right side
    14,451.84x = 144,192,712.32
  5. Step 5: Solve for x
    x = 144,192,712.32/14,451.84
  6. Step 6: Final answer
    x = 9,977.46

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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.