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Finding the Fourth Proportional to 25,988.63, 38,976.98 and 7,269.99

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Solution

The fourth proportional to 25,988.63, 38,976.98 and 7,269.99 is: 10,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,988.63 : 38,976.98 = 7,269.99 : x
  2. Step 2: Convert to fraction form
    25,988.63/38,976.98 = 7,269.99/x
  3. Step 3: Cross multiply
    25,988.63x = 38,976.98 × 7,269.99
  4. Step 4: Simplify right side
    25,988.63x = 283,362,254.83
  5. Step 5: Solve for x
    x = 283,362,254.83/25,988.63
  6. Step 6: Final answer
    x = 10,903.32

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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.