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Finding the Fourth Proportional to 25,312.91, 37,969.36 and 9,719.60

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Solution

The fourth proportional to 25,312.91, 37,969.36 and 9,719.60 is: 14,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312.91 : 37,969.36 = 9,719.60 : x
  2. Step 2: Convert to fraction form
    25,312.91/37,969.36 = 9,719.60/x
  3. Step 3: Cross multiply
    25,312.91x = 37,969.36 × 9,719.60
  4. Step 4: Simplify right side
    25,312.91x = 369,046,777.31
  5. Step 5: Solve for x
    x = 369,046,777.31/25,312.91
  6. Step 6: Final answer
    x = 14,579.39

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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.