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Finding the Fourth Proportional to 15,240.84, 22,845.06 and 6,471.24

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Solution

The fourth proportional to 15,240.84, 22,845.06 and 6,471.24 is: 9,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,240.84 : 22,845.06 = 6,471.24 : x
  2. Step 2: Convert to fraction form
    15,240.84/22,845.06 = 6,471.24/x
  3. Step 3: Cross multiply
    15,240.84x = 22,845.06 × 6,471.24
  4. Step 4: Simplify right side
    15,240.84x = 147,835,866.07
  5. Step 5: Solve for x
    x = 147,835,866.07/15,240.84
  6. Step 6: Final answer
    x = 9,699.98

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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.