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Finding the Fourth Proportional to 14,154.57, 21,194.60 and 9,971.87

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Solution

The fourth proportional to 14,154.57, 21,194.60 and 9,971.87 is: 14,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.57 : 21,194.60 = 9,971.87 : x
  2. Step 2: Convert to fraction form
    14,154.57/21,194.60 = 9,971.87/x
  3. Step 3: Cross multiply
    14,154.57x = 21,194.60 × 9,971.87
  4. Step 4: Simplify right side
    14,154.57x = 211,349,640.07
  5. Step 5: Solve for x
    x = 211,349,640.07/14,154.57
  6. Step 6: Final answer
    x = 14,931.55

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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.