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Finding the Fourth Proportional to 25,307.84, 37,966.37 and 12,664.20

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Solution

The fourth proportional to 25,307.84, 37,966.37 and 12,664.20 is: 18,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,307.84 : 37,966.37 = 12,664.20 : x
  2. Step 2: Convert to fraction form
    25,307.84/37,966.37 = 12,664.20/x
  3. Step 3: Cross multiply
    25,307.84x = 37,966.37 × 12,664.20
  4. Step 4: Simplify right side
    25,307.84x = 480,813,639.68
  5. Step 5: Solve for x
    x = 480,813,639.68/25,307.84
  6. Step 6: Final answer
    x = 18,998.60

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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.