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Finding the Fourth Proportional to 21,048.98, 31,573.19 and 6,056.46

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Solution

The fourth proportional to 21,048.98, 31,573.19 and 6,056.46 is: 9,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.98 : 31,573.19 = 6,056.46 : x
  2. Step 2: Convert to fraction form
    21,048.98/31,573.19 = 6,056.46/x
  3. Step 3: Cross multiply
    21,048.98x = 31,573.19 × 6,056.46
  4. Step 4: Simplify right side
    21,048.98x = 191,221,777.45
  5. Step 5: Solve for x
    x = 191,221,777.45/21,048.98
  6. Step 6: Final answer
    x = 9,084.61

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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.