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Finding the Fourth Proportional to 14,842.16, 22,261.06 and 5,606

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Solution

The fourth proportional to 14,842.16, 22,261.06 and 5,606 is: 8,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.16 : 22,261.06 = 5,606 : x
  2. Step 2: Convert to fraction form
    14,842.16/22,261.06 = 5,606/x
  3. Step 3: Cross multiply
    14,842.16x = 22,261.06 × 5,606
  4. Step 4: Simplify right side
    14,842.16x = 124,795,502.36
  5. Step 5: Solve for x
    x = 124,795,502.36/14,842.16
  6. Step 6: Final answer
    x = 8,408.18

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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.