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Finding the Fourth Proportional to 25,054.71, 37,586.40 and 8,416.36

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Solution

The fourth proportional to 25,054.71, 37,586.40 and 8,416.36 is: 12,626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054.71 : 37,586.40 = 8,416.36 : x
  2. Step 2: Convert to fraction form
    25,054.71/37,586.40 = 8,416.36/x
  3. Step 3: Cross multiply
    25,054.71x = 37,586.40 × 8,416.36
  4. Step 4: Simplify right side
    25,054.71x = 316,340,673.50
  5. Step 5: Solve for x
    x = 316,340,673.50/25,054.71
  6. Step 6: Final answer
    x = 12,626.00

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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.