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Finding the Fourth Proportional to 21,385.84, 32,085.24 and 9,695.92

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Solution

The fourth proportional to 21,385.84, 32,085.24 and 9,695.92 is: 14,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.84 : 32,085.24 = 9,695.92 : x
  2. Step 2: Convert to fraction form
    21,385.84/32,085.24 = 9,695.92/x
  3. Step 3: Cross multiply
    21,385.84x = 32,085.24 × 9,695.92
  4. Step 4: Simplify right side
    21,385.84x = 311,095,920.22
  5. Step 5: Solve for x
    x = 311,095,920.22/21,385.84
  6. Step 6: Final answer
    x = 14,546.82

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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.