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Finding the Fourth Proportional to 24,011.84, 36,011.64 and 9,975.98

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Solution

The fourth proportional to 24,011.84, 36,011.64 and 9,975.98 is: 14,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,011.84 : 36,011.64 = 9,975.98 : x
  2. Step 2: Convert to fraction form
    24,011.84/36,011.64 = 9,975.98/x
  3. Step 3: Cross multiply
    24,011.84x = 36,011.64 × 9,975.98
  4. Step 4: Simplify right side
    24,011.84x = 359,251,400.41
  5. Step 5: Solve for x
    x = 359,251,400.41/24,011.84
  6. Step 6: Final answer
    x = 14,961.43

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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.