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Finding the Fourth Proportional to 21,386.17, 32,071.02 and 7,343.56

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Solution

The fourth proportional to 21,386.17, 32,071.02 and 7,343.56 is: 11,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.17 : 32,071.02 = 7,343.56 : x
  2. Step 2: Convert to fraction form
    21,386.17/32,071.02 = 7,343.56/x
  3. Step 3: Cross multiply
    21,386.17x = 32,071.02 × 7,343.56
  4. Step 4: Simplify right side
    21,386.17x = 235,515,459.63
  5. Step 5: Solve for x
    x = 235,515,459.63/21,386.17
  6. Step 6: Final answer
    x = 11,012.51

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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.