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Finding the Fourth Proportional to 20,894.77, 31,312.69 and 11,539.00

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Solution

The fourth proportional to 20,894.77, 31,312.69 and 11,539.00 is: 17,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.77 : 31,312.69 = 11,539.00 : x
  2. Step 2: Convert to fraction form
    20,894.77/31,312.69 = 11,539.00/x
  3. Step 3: Cross multiply
    20,894.77x = 31,312.69 × 11,539.00
  4. Step 4: Simplify right side
    20,894.77x = 361,316,915.65
  5. Step 5: Solve for x
    x = 361,316,915.65/20,894.77
  6. Step 6: Final answer
    x = 17,292.22

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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.