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Finding the Fourth Proportional to 24,205.95, 36,308.96 and 7,566.07

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Solution

The fourth proportional to 24,205.95, 36,308.96 and 7,566.07 is: 11,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.95 : 36,308.96 = 7,566.07 : x
  2. Step 2: Convert to fraction form
    24,205.95/36,308.96 = 7,566.07/x
  3. Step 3: Cross multiply
    24,205.95x = 36,308.96 × 7,566.07
  4. Step 4: Simplify right side
    24,205.95x = 274,716,004.38
  5. Step 5: Solve for x
    x = 274,716,004.38/24,205.95
  6. Step 6: Final answer
    x = 11,349.11

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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.