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Finding the Fourth Proportional to 24,897.84, 34,359.12 and 13,719.84

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Solution

The fourth proportional to 24,897.84, 34,359.12 and 13,719.84 is: 18,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.84 : 34,359.12 = 13,719.84 : x
  2. Step 2: Convert to fraction form
    24,897.84/34,359.12 = 13,719.84/x
  3. Step 3: Cross multiply
    24,897.84x = 34,359.12 × 13,719.84
  4. Step 4: Simplify right side
    24,897.84x = 471,401,628.94
  5. Step 5: Solve for x
    x = 471,401,628.94/24,897.84
  6. Step 6: Final answer
    x = 18,933.43

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1.5x scale

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.