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Finding the Fourth Proportional to 15,977.84, 23,931.84 and 13,173

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Solution

The fourth proportional to 15,977.84, 23,931.84 and 13,173 is: 19,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977.84 : 23,931.84 = 13,173 : x
  2. Step 2: Convert to fraction form
    15,977.84/23,931.84 = 13,173/x
  3. Step 3: Cross multiply
    15,977.84x = 23,931.84 × 13,173
  4. Step 4: Simplify right side
    15,977.84x = 315,254,128.32
  5. Step 5: Solve for x
    x = 315,254,128.32/15,977.84
  6. Step 6: Final answer
    x = 19,730.71

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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.