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Finding the Fourth Proportional to 21,409.35, 32,111.19 and 9,719.88

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Solution

The fourth proportional to 21,409.35, 32,111.19 and 9,719.88 is: 14,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.35 : 32,111.19 = 9,719.88 : x
  2. Step 2: Convert to fraction form
    21,409.35/32,111.19 = 9,719.88/x
  3. Step 3: Cross multiply
    21,409.35x = 32,111.19 × 9,719.88
  4. Step 4: Simplify right side
    21,409.35x = 312,116,913.46
  5. Step 5: Solve for x
    x = 312,116,913.46/21,409.35
  6. Step 6: Final answer
    x = 14,578.53

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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.