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Finding the Fourth Proportional to 25,323.84, 37,974.75 and 9,730.50

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Solution

The fourth proportional to 25,323.84, 37,974.75 and 9,730.50 is: 14,591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,323.84 : 37,974.75 = 9,730.50 : x
  2. Step 2: Convert to fraction form
    25,323.84/37,974.75 = 9,730.50/x
  3. Step 3: Cross multiply
    25,323.84x = 37,974.75 × 9,730.50
  4. Step 4: Simplify right side
    25,323.84x = 369,513,304.88
  5. Step 5: Solve for x
    x = 369,513,304.88/25,323.84
  6. Step 6: Final answer
    x = 14,591.52

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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.