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Finding the Fourth Proportional to 24,861, 34,300.41 and 14,104.08

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Solution

The fourth proportional to 24,861, 34,300.41 and 14,104.08 is: 19,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,861 : 34,300.41 = 14,104.08 : x
  2. Step 2: Convert to fraction form
    24,861/34,300.41 = 14,104.08/x
  3. Step 3: Cross multiply
    24,861x = 34,300.41 × 14,104.08
  4. Step 4: Simplify right side
    24,861x = 483,775,726.67
  5. Step 5: Solve for x
    x = 483,775,726.67/24,861
  6. Step 6: Final answer
    x = 19,459.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.