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Finding the Fourth Proportional to 21,379.14, 32,068.71 and 9,689.63

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Solution

The fourth proportional to 21,379.14, 32,068.71 and 9,689.63 is: 14,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,379.14 : 32,068.71 = 9,689.63 : x
  2. Step 2: Convert to fraction form
    21,379.14/32,068.71 = 9,689.63/x
  3. Step 3: Cross multiply
    21,379.14x = 32,068.71 × 9,689.63
  4. Step 4: Simplify right side
    21,379.14x = 310,733,774.13
  5. Step 5: Solve for x
    x = 310,733,774.13/21,379.14
  6. Step 6: Final answer
    x = 14,534.44

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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.