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Finding the Fourth Proportional to 21,289, 31,961.76 and 18,188.92

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Solution

The fourth proportional to 21,289, 31,961.76 and 18,188.92 is: 27,307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,289 : 31,961.76 = 18,188.92 : x
  2. Step 2: Convert to fraction form
    21,289/31,961.76 = 18,188.92/x
  3. Step 3: Cross multiply
    21,289x = 31,961.76 × 18,188.92
  4. Step 4: Simplify right side
    21,289x = 581,349,895.70
  5. Step 5: Solve for x
    x = 581,349,895.70/21,289
  6. Step 6: Final answer
    x = 27,307.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.