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Finding the Fourth Proportional to 24,598.38, 33,950.10 and 14,526.14

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Solution

The fourth proportional to 24,598.38, 33,950.10 and 14,526.14 is: 20,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598.38 : 33,950.10 = 14,526.14 : x
  2. Step 2: Convert to fraction form
    24,598.38/33,950.10 = 14,526.14/x
  3. Step 3: Cross multiply
    24,598.38x = 33,950.10 × 14,526.14
  4. Step 4: Simplify right side
    24,598.38x = 493,163,905.61
  5. Step 5: Solve for x
    x = 493,163,905.61/24,598.38
  6. Step 6: Final answer
    x = 20,048.63

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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.