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Finding the Fourth Proportional to 21,926.16, 32,889.64 and 7,135.02

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Solution

The fourth proportional to 21,926.16, 32,889.64 and 7,135.02 is: 10,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,926.16 : 32,889.64 = 7,135.02 : x
  2. Step 2: Convert to fraction form
    21,926.16/32,889.64 = 7,135.02/x
  3. Step 3: Cross multiply
    21,926.16x = 32,889.64 × 7,135.02
  4. Step 4: Simplify right side
    21,926.16x = 234,668,239.19
  5. Step 5: Solve for x
    x = 234,668,239.19/21,926.16
  6. Step 6: Final answer
    x = 10,702.66

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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.