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Finding the Fourth Proportional to 23,228, 32,054.64 and 13,292

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Solution

The fourth proportional to 23,228, 32,054.64 and 13,292 is: 18,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228 : 32,054.64 = 13,292 : x
  2. Step 2: Convert to fraction form
    23,228/32,054.64 = 13,292/x
  3. Step 3: Cross multiply
    23,228x = 32,054.64 × 13,292
  4. Step 4: Simplify right side
    23,228x = 426,070,274.88
  5. Step 5: Solve for x
    x = 426,070,274.88/23,228
  6. Step 6: Final answer
    x = 18,342.96

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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.