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Finding the Fourth Proportional to 22,533, 31,094.16 and 12,460.80

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Solution

The fourth proportional to 22,533, 31,094.16 and 12,460.80 is: 17,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533 : 31,094.16 = 12,460.80 : x
  2. Step 2: Convert to fraction form
    22,533/31,094.16 = 12,460.80/x
  3. Step 3: Cross multiply
    22,533x = 31,094.16 × 12,460.80
  4. Step 4: Simplify right side
    22,533x = 387,458,108.93
  5. Step 5: Solve for x
    x = 387,458,108.93/22,533
  6. Step 6: Final answer
    x = 17,195.14

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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.