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Finding the Fourth Proportional to 14,953.76, 22,436.40 and 6,740

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Solution

The fourth proportional to 14,953.76, 22,436.40 and 6,740 is: 10,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,953.76 : 22,436.40 = 6,740 : x
  2. Step 2: Convert to fraction form
    14,953.76/22,436.40 = 6,740/x
  3. Step 3: Cross multiply
    14,953.76x = 22,436.40 × 6,740
  4. Step 4: Simplify right side
    14,953.76x = 151,221,336
  5. Step 5: Solve for x
    x = 151,221,336/14,953.76
  6. Step 6: Final answer
    x = 10,112.60

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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.