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Finding the Fourth Proportional to 21,934.47, 32,901.71 and 6,352.10

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Solution

The fourth proportional to 21,934.47, 32,901.71 and 6,352.10 is: 9,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.47 : 32,901.71 = 6,352.10 : x
  2. Step 2: Convert to fraction form
    21,934.47/32,901.71 = 6,352.10/x
  3. Step 3: Cross multiply
    21,934.47x = 32,901.71 × 6,352.10
  4. Step 4: Simplify right side
    21,934.47x = 208,994,755.82
  5. Step 5: Solve for x
    x = 208,994,755.82/21,934.47
  6. Step 6: Final answer
    x = 9,528.14

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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.