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Finding the Fourth Proportional to 24,355.35, 36,505.16 and 11,038.50

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Solution

The fourth proportional to 24,355.35, 36,505.16 and 11,038.50 is: 16,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,355.35 : 36,505.16 = 11,038.50 : x
  2. Step 2: Convert to fraction form
    24,355.35/36,505.16 = 11,038.50/x
  3. Step 3: Cross multiply
    24,355.35x = 36,505.16 × 11,038.50
  4. Step 4: Simplify right side
    24,355.35x = 402,962,236.26
  5. Step 5: Solve for x
    x = 402,962,236.26/24,355.35
  6. Step 6: Final answer
    x = 16,545.12

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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.