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Finding the Fourth Proportional to 24,419.71, 36,629.18 and 7,779.60

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Solution

The fourth proportional to 24,419.71, 36,629.18 and 7,779.60 is: 11,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.71 : 36,629.18 = 7,779.60 : x
  2. Step 2: Convert to fraction form
    24,419.71/36,629.18 = 7,779.60/x
  3. Step 3: Cross multiply
    24,419.71x = 36,629.18 × 7,779.60
  4. Step 4: Simplify right side
    24,419.71x = 284,960,368.73
  5. Step 5: Solve for x
    x = 284,960,368.73/24,419.71
  6. Step 6: Final answer
    x = 11,669.28

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1.5x scale

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.