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Finding the Fourth Proportional to 17,532.61, 24,192.93 and 9,977.95

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Solution

The fourth proportional to 17,532.61, 24,192.93 and 9,977.95 is: 13,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532.61 : 24,192.93 = 9,977.95 : x
  2. Step 2: Convert to fraction form
    17,532.61/24,192.93 = 9,977.95/x
  3. Step 3: Cross multiply
    17,532.61x = 24,192.93 × 9,977.95
  4. Step 4: Simplify right side
    17,532.61x = 241,395,845.89
  5. Step 5: Solve for x
    x = 241,395,845.89/17,532.61
  6. Step 6: Final answer
    x = 13,768.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.