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Finding the Fourth Proportional to 21,369.74, 32,051.37 and 7,515.50

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Solution

The fourth proportional to 21,369.74, 32,051.37 and 7,515.50 is: 11,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,369.74 : 32,051.37 = 7,515.50 : x
  2. Step 2: Convert to fraction form
    21,369.74/32,051.37 = 7,515.50/x
  3. Step 3: Cross multiply
    21,369.74x = 32,051.37 × 7,515.50
  4. Step 4: Simplify right side
    21,369.74x = 240,882,071.24
  5. Step 5: Solve for x
    x = 240,882,071.24/21,369.74
  6. Step 6: Final answer
    x = 11,272.11

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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.