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Finding the Fourth Proportional to 25,006.51, 37,515.03 and 9,424

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Solution

The fourth proportional to 25,006.51, 37,515.03 and 9,424 is: 14,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,006.51 : 37,515.03 = 9,424 : x
  2. Step 2: Convert to fraction form
    25,006.51/37,515.03 = 9,424/x
  3. Step 3: Cross multiply
    25,006.51x = 37,515.03 × 9,424
  4. Step 4: Simplify right side
    25,006.51x = 353,541,642.72
  5. Step 5: Solve for x
    x = 353,541,642.72/25,006.51
  6. Step 6: Final answer
    x = 14,137.98

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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.