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Finding the Fourth Proportional to 16,392.80, 24,580.56 and 7,148

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Solution

The fourth proportional to 16,392.80, 24,580.56 and 7,148 is: 10,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,392.80 : 24,580.56 = 7,148 : x
  2. Step 2: Convert to fraction form
    16,392.80/24,580.56 = 7,148/x
  3. Step 3: Cross multiply
    16,392.80x = 24,580.56 × 7,148
  4. Step 4: Simplify right side
    16,392.80x = 175,701,842.88
  5. Step 5: Solve for x
    x = 175,701,842.88/16,392.80
  6. Step 6: Final answer
    x = 10,718.23

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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.