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Finding the Fourth Proportional to 24,928.48, 37,400 and 9,347.32

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Solution

The fourth proportional to 24,928.48, 37,400 and 9,347.32 is: 14,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,928.48 : 37,400 = 9,347.32 : x
  2. Step 2: Convert to fraction form
    24,928.48/37,400 = 9,347.32/x
  3. Step 3: Cross multiply
    24,928.48x = 37,400 × 9,347.32
  4. Step 4: Simplify right side
    24,928.48x = 349,589,768
  5. Step 5: Solve for x
    x = 349,589,768/24,928.48
  6. Step 6: Final answer
    x = 14,023.71

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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.