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Finding the Fourth Proportional to 25,688.84, 38,535.83 and 6,969.19

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Solution

The fourth proportional to 25,688.84, 38,535.83 and 6,969.19 is: 10,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,688.84 : 38,535.83 = 6,969.19 : x
  2. Step 2: Convert to fraction form
    25,688.84/38,535.83 = 6,969.19/x
  3. Step 3: Cross multiply
    25,688.84x = 38,535.83 × 6,969.19
  4. Step 4: Simplify right side
    25,688.84x = 268,563,293.55
  5. Step 5: Solve for x
    x = 268,563,293.55/25,688.84
  6. Step 6: Final answer
    x = 10,454.47

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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.