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Finding the Fourth Proportional to 24,425.40, 36,627.66 and 7,779.72

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Solution

The fourth proportional to 24,425.40, 36,627.66 and 7,779.72 is: 11,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,425.40 : 36,627.66 = 7,779.72 : x
  2. Step 2: Convert to fraction form
    24,425.40/36,627.66 = 7,779.72/x
  3. Step 3: Cross multiply
    24,425.40x = 36,627.66 × 7,779.72
  4. Step 4: Simplify right side
    24,425.40x = 284,952,939.06
  5. Step 5: Solve for x
    x = 284,952,939.06/24,425.40
  6. Step 6: Final answer
    x = 11,666.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.