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Finding the Fourth Proportional to 12,455.68, 17,180.04 and 7,416

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Solution

The fourth proportional to 12,455.68, 17,180.04 and 7,416 is: 10,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.68 : 17,180.04 = 7,416 : x
  2. Step 2: Convert to fraction form
    12,455.68/17,180.04 = 7,416/x
  3. Step 3: Cross multiply
    12,455.68x = 17,180.04 × 7,416
  4. Step 4: Simplify right side
    12,455.68x = 127,407,176.64
  5. Step 5: Solve for x
    x = 127,407,176.64/12,455.68
  6. Step 6: Final answer
    x = 10,228.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.