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Finding the Fourth Proportional to 21,830.44, 30,094.16 and 17,356

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Solution

The fourth proportional to 21,830.44, 30,094.16 and 17,356 is: 23,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.44 : 30,094.16 = 17,356 : x
  2. Step 2: Convert to fraction form
    21,830.44/30,094.16 = 17,356/x
  3. Step 3: Cross multiply
    21,830.44x = 30,094.16 × 17,356
  4. Step 4: Simplify right side
    21,830.44x = 522,314,240.96
  5. Step 5: Solve for x
    x = 522,314,240.96/21,830.44
  6. Step 6: Final answer
    x = 23,925.96

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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.