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Finding the Fourth Proportional to 14,475.95, 21,679.89 and 7,057.16

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Solution

The fourth proportional to 14,475.95, 21,679.89 and 7,057.16 is: 10,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.95 : 21,679.89 = 7,057.16 : x
  2. Step 2: Convert to fraction form
    14,475.95/21,679.89 = 7,057.16/x
  3. Step 3: Cross multiply
    14,475.95x = 21,679.89 × 7,057.16
  4. Step 4: Simplify right side
    14,475.95x = 152,998,344.11
  5. Step 5: Solve for x
    x = 152,998,344.11/14,475.95
  6. Step 6: Final answer
    x = 10,569.14

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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.