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Finding the Fourth Proportional to 25,302.44, 37,957.74 and 9,508.70

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Solution

The fourth proportional to 25,302.44, 37,957.74 and 9,508.70 is: 14,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,302.44 : 37,957.74 = 9,508.70 : x
  2. Step 2: Convert to fraction form
    25,302.44/37,957.74 = 9,508.70/x
  3. Step 3: Cross multiply
    25,302.44x = 37,957.74 × 9,508.70
  4. Step 4: Simplify right side
    25,302.44x = 360,928,762.34
  5. Step 5: Solve for x
    x = 360,928,762.34/25,302.44
  6. Step 6: Final answer
    x = 14,264.58

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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.