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Finding the Fourth Proportional to 25,283.75, 37,929.72 and 9,490.01

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Solution

The fourth proportional to 25,283.75, 37,929.72 and 9,490.01 is: 14,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,283.75 : 37,929.72 = 9,490.01 : x
  2. Step 2: Convert to fraction form
    25,283.75/37,929.72 = 9,490.01/x
  3. Step 3: Cross multiply
    25,283.75x = 37,929.72 × 9,490.01
  4. Step 4: Simplify right side
    25,283.75x = 359,953,428.01
  5. Step 5: Solve for x
    x = 359,953,428.01/25,283.75
  6. Step 6: Final answer
    x = 14,236.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.