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Finding the Fourth Proportional to 25,158.63, 37,742.00 and 7,624.36

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Solution

The fourth proportional to 25,158.63, 37,742.00 and 7,624.36 is: 11,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,158.63 : 37,742.00 = 7,624.36 : x
  2. Step 2: Convert to fraction form
    25,158.63/37,742.00 = 7,624.36/x
  3. Step 3: Cross multiply
    25,158.63x = 37,742.00 × 7,624.36
  4. Step 4: Simplify right side
    25,158.63x = 287,758,647.06
  5. Step 5: Solve for x
    x = 287,758,647.06/25,158.63
  6. Step 6: Final answer
    x = 11,437.77

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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.