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Finding the Fourth Proportional to 21,574.74, 32,369.90 and 7,536.84

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Solution

The fourth proportional to 21,574.74, 32,369.90 and 7,536.84 is: 11,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.74 : 32,369.90 = 7,536.84 : x
  2. Step 2: Convert to fraction form
    21,574.74/32,369.90 = 7,536.84/x
  3. Step 3: Cross multiply
    21,574.74x = 32,369.90 × 7,536.84
  4. Step 4: Simplify right side
    21,574.74x = 243,966,757.12
  5. Step 5: Solve for x
    x = 243,966,757.12/21,574.74
  6. Step 6: Final answer
    x = 11,307.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.