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Finding the Fourth Proportional to 24,661.84, 34,035.70 and 14,593.48

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Solution

The fourth proportional to 24,661.84, 34,035.70 and 14,593.48 is: 20,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661.84 : 34,035.70 = 14,593.48 : x
  2. Step 2: Convert to fraction form
    24,661.84/34,035.70 = 14,593.48/x
  3. Step 3: Cross multiply
    24,661.84x = 34,035.70 × 14,593.48
  4. Step 4: Simplify right side
    24,661.84x = 496,699,307.24
  5. Step 5: Solve for x
    x = 496,699,307.24/24,661.84
  6. Step 6: Final answer
    x = 20,140.40

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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.