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Finding the Fourth Proportional to 24,828.40, 37,271.40 and 14,978.80

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Solution

The fourth proportional to 24,828.40, 37,271.40 and 14,978.80 is: 22,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828.40 : 37,271.40 = 14,978.80 : x
  2. Step 2: Convert to fraction form
    24,828.40/37,271.40 = 14,978.80/x
  3. Step 3: Cross multiply
    24,828.40x = 37,271.40 × 14,978.80
  4. Step 4: Simplify right side
    24,828.40x = 558,280,846.32
  5. Step 5: Solve for x
    x = 558,280,846.32/24,828.40
  6. Step 6: Final answer
    x = 22,485.57

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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.