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Finding the Fourth Proportional to 24,349.84, 36,502.83 and 8,756.50

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Solution

The fourth proportional to 24,349.84, 36,502.83 and 8,756.50 is: 13,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,349.84 : 36,502.83 = 8,756.50 : x
  2. Step 2: Convert to fraction form
    24,349.84/36,502.83 = 8,756.50/x
  3. Step 3: Cross multiply
    24,349.84x = 36,502.83 × 8,756.50
  4. Step 4: Simplify right side
    24,349.84x = 319,637,030.90
  5. Step 5: Solve for x
    x = 319,637,030.90/24,349.84
  6. Step 6: Final answer
    x = 13,126.86

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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.