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Finding the Fourth Proportional to 25,569.60, 38,338.74 and 9,969

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Solution

The fourth proportional to 25,569.60, 38,338.74 and 9,969 is: 14,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,569.60 : 38,338.74 = 9,969 : x
  2. Step 2: Convert to fraction form
    25,569.60/38,338.74 = 9,969/x
  3. Step 3: Cross multiply
    25,569.60x = 38,338.74 × 9,969
  4. Step 4: Simplify right side
    25,569.60x = 382,198,899.06
  5. Step 5: Solve for x
    x = 382,198,899.06/25,569.60
  6. Step 6: Final answer
    x = 14,947.39

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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.