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Finding the Fourth Proportional to 22,391, 30,899.76 and 12,319.16

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Solution

The fourth proportional to 22,391, 30,899.76 and 12,319.16 is: 17,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,391 : 30,899.76 = 12,319.16 : x
  2. Step 2: Convert to fraction form
    22,391/30,899.76 = 12,319.16/x
  3. Step 3: Cross multiply
    22,391x = 30,899.76 × 12,319.16
  4. Step 4: Simplify right side
    22,391x = 380,659,087.40
  5. Step 5: Solve for x
    x = 380,659,087.40/22,391
  6. Step 6: Final answer
    x = 17,000.54

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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.