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Finding the Fourth Proportional to 21,755.84, 32,655.36 and 10,071.68

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Solution

The fourth proportional to 21,755.84, 32,655.36 and 10,071.68 is: 15,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755.84 : 32,655.36 = 10,071.68 : x
  2. Step 2: Convert to fraction form
    21,755.84/32,655.36 = 10,071.68/x
  3. Step 3: Cross multiply
    21,755.84x = 32,655.36 × 10,071.68
  4. Step 4: Simplify right side
    21,755.84x = 328,894,336.20
  5. Step 5: Solve for x
    x = 328,894,336.20/21,755.84
  6. Step 6: Final answer
    x = 15,117.52

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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.