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Finding the Fourth Proportional to 16,235.58, 24,354 and 4,548.51

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Solution

The fourth proportional to 16,235.58, 24,354 and 4,548.51 is: 6,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.58 : 24,354 = 4,548.51 : x
  2. Step 2: Convert to fraction form
    16,235.58/24,354 = 4,548.51/x
  3. Step 3: Cross multiply
    16,235.58x = 24,354 × 4,548.51
  4. Step 4: Simplify right side
    16,235.58x = 110,774,412.54
  5. Step 5: Solve for x
    x = 110,774,412.54/16,235.58
  6. Step 6: Final answer
    x = 6,822.94

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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.