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Finding the Fourth Proportional to 21,536.40, 32,294.88 and 7,685.76

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Solution

The fourth proportional to 21,536.40, 32,294.88 and 7,685.76 is: 11,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.40 : 32,294.88 = 7,685.76 : x
  2. Step 2: Convert to fraction form
    21,536.40/32,294.88 = 7,685.76/x
  3. Step 3: Cross multiply
    21,536.40x = 32,294.88 × 7,685.76
  4. Step 4: Simplify right side
    21,536.40x = 248,210,696.91
  5. Step 5: Solve for x
    x = 248,210,696.91/21,536.40
  6. Step 6: Final answer
    x = 11,525.17

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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.