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Finding the Fourth Proportional to 21,364.14, 32,047.22 and 9,515.87

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Solution

The fourth proportional to 21,364.14, 32,047.22 and 9,515.87 is: 14,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.14 : 32,047.22 = 9,515.87 : x
  2. Step 2: Convert to fraction form
    21,364.14/32,047.22 = 9,515.87/x
  3. Step 3: Cross multiply
    21,364.14x = 32,047.22 × 9,515.87
  4. Step 4: Simplify right side
    21,364.14x = 304,956,971.57
  5. Step 5: Solve for x
    x = 304,956,971.57/21,364.14
  6. Step 6: Final answer
    x = 14,274.25

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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.